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Finding the Third Proportional to 557,715 and 886,386

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Solution

The third proportional to 557,715 and 886,386 is: 1,408,748.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,715 : 886,386 = 886,386 : x
  2. Step 2: Convert to fraction form
    557,715/886,386 = 886,386/x
  3. Step 3: Cross multiply
    557,715x = 886,386 × 886,386
  4. Step 4: Simplify right side
    557,715x = 785,680,140,996
  5. Step 5: Solve for x
    x = 785,680,140,996/557,715
  6. Step 6: Final answer
    x = 1,408,748.45

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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.