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Finding the Third Proportional to 559,527.75 and 860,527.13

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Solution

The third proportional to 559,527.75 and 860,527.13 is: 1,323,449.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,527.75 : 860,527.13 = 860,527.13 : x
  2. Step 2: Convert to fraction form
    559,527.75/860,527.13 = 860,527.13/x
  3. Step 3: Cross multiply
    559,527.75x = 860,527.13 × 860,527.13
  4. Step 4: Simplify right side
    559,527.75x = 740,506,932,860.77
  5. Step 5: Solve for x
    x = 740,506,932,860.77/559,527.75
  6. Step 6: Final answer
    x = 1,323,449.88

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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.