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Finding the Third Proportional to 301,460 and 466,572

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Solution

The third proportional to 301,460 and 466,572 is: 722,117.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,460 : 466,572 = 466,572 : x
  2. Step 2: Convert to fraction form
    301,460/466,572 = 466,572/x
  3. Step 3: Cross multiply
    301,460x = 466,572 × 466,572
  4. Step 4: Simplify right side
    301,460x = 217,689,431,184
  5. Step 5: Solve for x
    x = 217,689,431,184/301,460
  6. Step 6: Final answer
    x = 722,117.13

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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.