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Finding the Third Proportional to 655,362 and 885,432

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Solution

The third proportional to 655,362 and 885,432 is: 1,196,269.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,362 : 885,432 = 885,432 : x
  2. Step 2: Convert to fraction form
    655,362/885,432 = 885,432/x
  3. Step 3: Cross multiply
    655,362x = 885,432 × 885,432
  4. Step 4: Simplify right side
    655,362x = 783,989,826,624
  5. Step 5: Solve for x
    x = 783,989,826,624/655,362
  6. Step 6: Final answer
    x = 1,196,269.89

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.