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Finding the Third Proportional to 497,036,074 and 741,243,866

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Solution

The third proportional to 497,036,074 and 741,243,866 is: 1,105,437,809.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,036,074 : 741,243,866 = 741,243,866 : x
  2. Step 2: Convert to fraction form
    497,036,074/741,243,866 = 741,243,866/x
  3. Step 3: Cross multiply
    497,036,074x = 741,243,866 × 741,243,866
  4. Step 4: Simplify right side
    497,036,074x = 549,442,468,882,625,984
  5. Step 5: Solve for x
    x = 549,442,468,882,625,984/497,036,074
  6. Step 6: Final answer
    x = 1,105,437,809.50

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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.