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Finding the Third Proportional to 366,465 and 560,596

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Solution

The third proportional to 366,465 and 560,596 is: 857,565.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,465 : 560,596 = 560,596 : x
  2. Step 2: Convert to fraction form
    366,465/560,596 = 560,596/x
  3. Step 3: Cross multiply
    366,465x = 560,596 × 560,596
  4. Step 4: Simplify right side
    366,465x = 314,267,875,216
  5. Step 5: Solve for x
    x = 314,267,875,216/366,465
  6. Step 6: Final answer
    x = 857,565.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.