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Finding the Third Proportional to 610,432 and 967,332

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Solution

The third proportional to 610,432 and 967,332 is: 1,532,899.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,432 : 967,332 = 967,332 : x
  2. Step 2: Convert to fraction form
    610,432/967,332 = 967,332/x
  3. Step 3: Cross multiply
    610,432x = 967,332 × 967,332
  4. Step 4: Simplify right side
    610,432x = 935,731,198,224
  5. Step 5: Solve for x
    x = 935,731,198,224/610,432
  6. Step 6: Final answer
    x = 1,532,899.98

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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.