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Finding the Third Proportional to 385,032 and 592,584

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Solution

The third proportional to 385,032 and 592,584 is: 912,017.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,032 : 592,584 = 592,584 : x
  2. Step 2: Convert to fraction form
    385,032/592,584 = 592,584/x
  3. Step 3: Cross multiply
    385,032x = 592,584 × 592,584
  4. Step 4: Simplify right side
    385,032x = 351,155,797,056
  5. Step 5: Solve for x
    x = 351,155,797,056/385,032
  6. Step 6: Final answer
    x = 912,017.18

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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.