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Finding the Third Proportional to 473,196 and 715,432

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Solution

The third proportional to 473,196 and 715,432 is: 1,081,672.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,196 : 715,432 = 715,432 : x
  2. Step 2: Convert to fraction form
    473,196/715,432 = 715,432/x
  3. Step 3: Cross multiply
    473,196x = 715,432 × 715,432
  4. Step 4: Simplify right side
    473,196x = 511,842,946,624
  5. Step 5: Solve for x
    x = 511,842,946,624/473,196
  6. Step 6: Final answer
    x = 1,081,672.18

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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.