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Finding the Third Proportional to 290,709,577.13 and 446,841,640.13

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Solution

The third proportional to 290,709,577.13 and 446,841,640.13 is: 686,827,910.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,709,577.13 : 446,841,640.13 = 446,841,640.13 : x
  2. Step 2: Convert to fraction form
    290,709,577.13/446,841,640.13 = 446,841,640.13/x
  3. Step 3: Cross multiply
    290,709,577.13x = 446,841,640.13 × 446,841,640.13
  4. Step 4: Simplify right side
    290,709,577.13x = 199,667,451,349,600,000
  5. Step 5: Solve for x
    x = 199,667,451,349,600,000/290,709,577.13
  6. Step 6: Final answer
    x = 686,827,910.26

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.