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Finding the Third Proportional to 472,195 and 712,246

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Solution

The third proportional to 472,195 and 712,246 is: 1,074,332.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,195 : 712,246 = 712,246 : x
  2. Step 2: Convert to fraction form
    472,195/712,246 = 712,246/x
  3. Step 3: Cross multiply
    472,195x = 712,246 × 712,246
  4. Step 4: Simplify right side
    472,195x = 507,294,364,516
  5. Step 5: Solve for x
    x = 507,294,364,516/472,195
  6. Step 6: Final answer
    x = 1,074,332.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.