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Finding the Third Proportional to 385,362 and 592,785

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Solution

The third proportional to 385,362 and 592,785 is: 911,854.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,362 : 592,785 = 592,785 : x
  2. Step 2: Convert to fraction form
    385,362/592,785 = 592,785/x
  3. Step 3: Cross multiply
    385,362x = 592,785 × 592,785
  4. Step 4: Simplify right side
    385,362x = 351,394,056,225
  5. Step 5: Solve for x
    x = 351,394,056,225/385,362
  6. Step 6: Final answer
    x = 911,854.45

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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.