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Finding the Third Proportional to 651,862.69 and 904,324.50

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Solution

The third proportional to 651,862.69 and 904,324.50 is: 1,254,562.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,862.69 : 904,324.50 = 904,324.50 : x
  2. Step 2: Convert to fraction form
    651,862.69/904,324.50 = 904,324.50/x
  3. Step 3: Cross multiply
    651,862.69x = 904,324.50 × 904,324.50
  4. Step 4: Simplify right side
    651,862.69x = 817,802,801,300.25
  5. Step 5: Solve for x
    x = 817,802,801,300.25/651,862.69
  6. Step 6: Final answer
    x = 1,254,562.99

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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.