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Finding the Third Proportional to 532,152 and 842,491

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Solution

The third proportional to 532,152 and 842,491 is: 1,333,812.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,152 : 842,491 = 842,491 : x
  2. Step 2: Convert to fraction form
    532,152/842,491 = 842,491/x
  3. Step 3: Cross multiply
    532,152x = 842,491 × 842,491
  4. Step 4: Simplify right side
    532,152x = 709,791,085,081
  5. Step 5: Solve for x
    x = 709,791,085,081/532,152
  6. Step 6: Final answer
    x = 1,333,812.68

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.