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Finding the Third Proportional to 461,590.13 and 730,323.75

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Solution

The third proportional to 461,590.13 and 730,323.75 is: 1,155,511.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,590.13 : 730,323.75 = 730,323.75 : x
  2. Step 2: Convert to fraction form
    461,590.13/730,323.75 = 730,323.75/x
  3. Step 3: Cross multiply
    461,590.13x = 730,323.75 × 730,323.75
  4. Step 4: Simplify right side
    461,590.13x = 533,372,779,814.06
  5. Step 5: Solve for x
    x = 533,372,779,814.06/461,590.13
  6. Step 6: Final answer
    x = 1,155,511.68

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.