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Finding the Third Proportional to 263,260.13 and 432,433.69

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Solution

The third proportional to 263,260.13 and 432,433.69 is: 710,319.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,260.13 : 432,433.69 = 432,433.69 : x
  2. Step 2: Convert to fraction form
    263,260.13/432,433.69 = 432,433.69/x
  3. Step 3: Cross multiply
    263,260.13x = 432,433.69 × 432,433.69
  4. Step 4: Simplify right side
    263,260.13x = 186,998,894,084.85
  5. Step 5: Solve for x
    x = 186,998,894,084.85/263,260.13
  6. Step 6: Final answer
    x = 710,319.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.