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Finding the Third Proportional to 584,577 and 930,894

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Solution

The third proportional to 584,577 and 930,894 is: 1,482,377.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,577 : 930,894 = 930,894 : x
  2. Step 2: Convert to fraction form
    584,577/930,894 = 930,894/x
  3. Step 3: Cross multiply
    584,577x = 930,894 × 930,894
  4. Step 4: Simplify right side
    584,577x = 866,563,639,236
  5. Step 5: Solve for x
    x = 866,563,639,236/584,577
  6. Step 6: Final answer
    x = 1,482,377.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.