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Finding the Third Proportional to 460,324 and 688,566

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Solution

The third proportional to 460,324 and 688,566 is: 1,029,977.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,324 : 688,566 = 688,566 : x
  2. Step 2: Convert to fraction form
    460,324/688,566 = 688,566/x
  3. Step 3: Cross multiply
    460,324x = 688,566 × 688,566
  4. Step 4: Simplify right side
    460,324x = 474,123,136,356
  5. Step 5: Solve for x
    x = 474,123,136,356/460,324
  6. Step 6: Final answer
    x = 1,029,977.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.