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Finding the Third Proportional to 532,648 and 749,207

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Solution

The third proportional to 532,648 and 749,207 is: 1,053,812.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,648 : 749,207 = 749,207 : x
  2. Step 2: Convert to fraction form
    532,648/749,207 = 749,207/x
  3. Step 3: Cross multiply
    532,648x = 749,207 × 749,207
  4. Step 4: Simplify right side
    532,648x = 561,311,128,849
  5. Step 5: Solve for x
    x = 561,311,128,849/532,648
  6. Step 6: Final answer
    x = 1,053,812.52

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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.