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Finding the Third Proportional to 473,407 and 715,024

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Solution

The third proportional to 473,407 and 715,024 is: 1,079,957.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,407 : 715,024 = 715,024 : x
  2. Step 2: Convert to fraction form
    473,407/715,024 = 715,024/x
  3. Step 3: Cross multiply
    473,407x = 715,024 × 715,024
  4. Step 4: Simplify right side
    473,407x = 511,259,320,576
  5. Step 5: Solve for x
    x = 511,259,320,576/473,407
  6. Step 6: Final answer
    x = 1,079,957.25

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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.