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Finding the Third Proportional to 497,036,047.50 and 741,243,831.75

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Solution

The third proportional to 497,036,047.50 and 741,243,831.75 is: 1,105,437,766.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,036,047.50 : 741,243,831.75 = 741,243,831.75 : x
  2. Step 2: Convert to fraction form
    497,036,047.50/741,243,831.75 = 741,243,831.75/x
  3. Step 3: Cross multiply
    497,036,047.50x = 741,243,831.75 × 741,243,831.75
  4. Step 4: Simplify right side
    497,036,047.50x = 549,442,418,107,422,336
  5. Step 5: Solve for x
    x = 549,442,418,107,422,336/497,036,047.50
  6. Step 6: Final answer
    x = 1,105,437,766.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.