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Finding the Third Proportional to 315,594 and 654,478

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Solution

The third proportional to 315,594 and 654,478 is: 1,357,254.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,594 : 654,478 = 654,478 : x
  2. Step 2: Convert to fraction form
    315,594/654,478 = 654,478/x
  3. Step 3: Cross multiply
    315,594x = 654,478 × 654,478
  4. Step 4: Simplify right side
    315,594x = 428,341,452,484
  5. Step 5: Solve for x
    x = 428,341,452,484/315,594
  6. Step 6: Final answer
    x = 1,357,254.74

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.