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Finding the Third Proportional to 385,234 and 592,886

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Solution

The third proportional to 385,234 and 592,886 is: 912,468.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,234 : 592,886 = 592,886 : x
  2. Step 2: Convert to fraction form
    385,234/592,886 = 592,886/x
  3. Step 3: Cross multiply
    385,234x = 592,886 × 592,886
  4. Step 4: Simplify right side
    385,234x = 351,513,808,996
  5. Step 5: Solve for x
    x = 351,513,808,996/385,234
  6. Step 6: Final answer
    x = 912,468.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.