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Finding the Third Proportional to 314,520 and 473,508

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Solution

The third proportional to 314,520 and 473,508 is: 712,863.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,520 : 473,508 = 473,508 : x
  2. Step 2: Convert to fraction form
    314,520/473,508 = 473,508/x
  3. Step 3: Cross multiply
    314,520x = 473,508 × 473,508
  4. Step 4: Simplify right side
    314,520x = 224,209,826,064
  5. Step 5: Solve for x
    x = 224,209,826,064/314,520
  6. Step 6: Final answer
    x = 712,863.49

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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.