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Finding the Third Proportional to 425,726 and 654,565

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Solution

The third proportional to 425,726 and 654,565 is: 1,006,411.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,726 : 654,565 = 654,565 : x
  2. Step 2: Convert to fraction form
    425,726/654,565 = 654,565/x
  3. Step 3: Cross multiply
    425,726x = 654,565 × 654,565
  4. Step 4: Simplify right side
    425,726x = 428,455,339,225
  5. Step 5: Solve for x
    x = 428,455,339,225/425,726
  6. Step 6: Final answer
    x = 1,006,411.02

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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.