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Finding the Third Proportional to 532,650 and 749,210

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Solution

The third proportional to 532,650 and 749,210 is: 1,053,817.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,650 : 749,210 = 749,210 : x
  2. Step 2: Convert to fraction form
    532,650/749,210 = 749,210/x
  3. Step 3: Cross multiply
    532,650x = 749,210 × 749,210
  4. Step 4: Simplify right side
    532,650x = 561,315,624,100
  5. Step 5: Solve for x
    x = 561,315,624,100/532,650
  6. Step 6: Final answer
    x = 1,053,817.00

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Why These Related Problems?

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