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Finding the Third Proportional to 565,582 and 791,156

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Solution

The third proportional to 565,582 and 791,156 is: 1,106,696.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,582 : 791,156 = 791,156 : x
  2. Step 2: Convert to fraction form
    565,582/791,156 = 791,156/x
  3. Step 3: Cross multiply
    565,582x = 791,156 × 791,156
  4. Step 4: Simplify right side
    565,582x = 625,927,816,336
  5. Step 5: Solve for x
    x = 625,927,816,336/565,582
  6. Step 6: Final answer
    x = 1,106,696.85

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.