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Finding the Third Proportional to 501,830 and 715,376

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Solution

The third proportional to 501,830 and 715,376 is: 1,019,793.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,830 : 715,376 = 715,376 : x
  2. Step 2: Convert to fraction form
    501,830/715,376 = 715,376/x
  3. Step 3: Cross multiply
    501,830x = 715,376 × 715,376
  4. Step 4: Simplify right side
    501,830x = 511,762,821,376
  5. Step 5: Solve for x
    x = 511,762,821,376/501,830
  6. Step 6: Final answer
    x = 1,019,793.20

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.