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Finding the Third Proportional to 532,590 and 749,124

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Solution

The third proportional to 532,590 and 749,124 is: 1,053,693.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,590 : 749,124 = 749,124 : x
  2. Step 2: Convert to fraction form
    532,590/749,124 = 749,124/x
  3. Step 3: Cross multiply
    532,590x = 749,124 × 749,124
  4. Step 4: Simplify right side
    532,590x = 561,186,767,376
  5. Step 5: Solve for x
    x = 561,186,767,376/532,590
  6. Step 6: Final answer
    x = 1,053,693.77

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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.