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Finding the Third Proportional to 460,432 and 714,560

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Solution

The third proportional to 460,432 and 714,560 is: 1,108,949.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,432 : 714,560 = 714,560 : x
  2. Step 2: Convert to fraction form
    460,432/714,560 = 714,560/x
  3. Step 3: Cross multiply
    460,432x = 714,560 × 714,560
  4. Step 4: Simplify right side
    460,432x = 510,595,993,600
  5. Step 5: Solve for x
    x = 510,595,993,600/460,432
  6. Step 6: Final answer
    x = 1,108,949.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.