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Finding the Third Proportional to 473,008 and 695,680

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Solution

The third proportional to 473,008 and 695,680 is: 1,023,176.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,008 : 695,680 = 695,680 : x
  2. Step 2: Convert to fraction form
    473,008/695,680 = 695,680/x
  3. Step 3: Cross multiply
    473,008x = 695,680 × 695,680
  4. Step 4: Simplify right side
    473,008x = 483,970,662,400
  5. Step 5: Solve for x
    x = 483,970,662,400/473,008
  6. Step 6: Final answer
    x = 1,023,176.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.