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Finding the Third Proportional to 313,564 and 473,262

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Solution

The third proportional to 313,564 and 473,262 is: 714,294.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,564 : 473,262 = 473,262 : x
  2. Step 2: Convert to fraction form
    313,564/473,262 = 473,262/x
  3. Step 3: Cross multiply
    313,564x = 473,262 × 473,262
  4. Step 4: Simplify right side
    313,564x = 223,976,920,644
  5. Step 5: Solve for x
    x = 223,976,920,644/313,564
  6. Step 6: Final answer
    x = 714,294.12

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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.