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Finding the Third Proportional to 530,712 and 844,047

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Solution

The third proportional to 530,712 and 844,047 is: 1,342,376.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,712 : 844,047 = 844,047 : x
  2. Step 2: Convert to fraction form
    530,712/844,047 = 844,047/x
  3. Step 3: Cross multiply
    530,712x = 844,047 × 844,047
  4. Step 4: Simplify right side
    530,712x = 712,415,338,209
  5. Step 5: Solve for x
    x = 712,415,338,209/530,712
  6. Step 6: Final answer
    x = 1,342,376.54

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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.