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Finding the Third Proportional to 497,036,052 and 741,243,840

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Solution

The third proportional to 497,036,052 and 741,243,840 is: 1,105,437,780.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,036,052 : 741,243,840 = 741,243,840 : x
  2. Step 2: Convert to fraction form
    497,036,052/741,243,840 = 741,243,840/x
  3. Step 3: Cross multiply
    497,036,052x = 741,243,840 × 741,243,840
  4. Step 4: Simplify right side
    497,036,052x = 549,442,430,337,945,600
  5. Step 5: Solve for x
    x = 549,442,430,337,945,600/497,036,052
  6. Step 6: Final answer
    x = 1,105,437,780.88

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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.