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Finding the Third Proportional to 532,575 and 749,101.50

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Solution

The third proportional to 532,575 and 749,101.50 is: 1,053,660.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,575 : 749,101.50 = 749,101.50 : x
  2. Step 2: Convert to fraction form
    532,575/749,101.50 = 749,101.50/x
  3. Step 3: Cross multiply
    532,575x = 749,101.50 × 749,101.50
  4. Step 4: Simplify right side
    532,575x = 561,153,057,302.25
  5. Step 5: Solve for x
    x = 561,153,057,302.25/532,575
  6. Step 6: Final answer
    x = 1,053,660.16

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.