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Finding the Third Proportional to 497,036,072 and 741,243,863

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Solution

The third proportional to 497,036,072 and 741,243,863 is: 1,105,437,805.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,036,072 : 741,243,863 = 741,243,863 : x
  2. Step 2: Convert to fraction form
    497,036,072/741,243,863 = 741,243,863/x
  3. Step 3: Cross multiply
    497,036,072x = 741,243,863 × 741,243,863
  4. Step 4: Simplify right side
    497,036,072x = 549,442,464,435,162,752
  5. Step 5: Solve for x
    x = 549,442,464,435,162,752/497,036,072
  6. Step 6: Final answer
    x = 1,105,437,805.00

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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.