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Finding the Third Proportional to 497,182,308 and 691,292,430.75

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Solution

The third proportional to 497,182,308 and 691,292,430.75 is: 961,187,108.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,182,308 : 691,292,430.75 = 691,292,430.75 : x
  2. Step 2: Convert to fraction form
    497,182,308/691,292,430.75 = 691,292,430.75/x
  3. Step 3: Cross multiply
    497,182,308x = 691,292,430.75 × 691,292,430.75
  4. Step 4: Simplify right side
    497,182,308x = 477,885,224,812,243,520
  5. Step 5: Solve for x
    x = 477,885,224,812,243,520/497,182,308
  6. Step 6: Final answer
    x = 961,187,108.07

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.