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Finding the Third Proportional to 292,732 and 608,432

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Solution

The third proportional to 292,732 and 608,432 is: 1,264,602.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,732 : 608,432 = 608,432 : x
  2. Step 2: Convert to fraction form
    292,732/608,432 = 608,432/x
  3. Step 3: Cross multiply
    292,732x = 608,432 × 608,432
  4. Step 4: Simplify right side
    292,732x = 370,189,498,624
  5. Step 5: Solve for x
    x = 370,189,498,624/292,732
  6. Step 6: Final answer
    x = 1,264,602.09

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.