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Finding the Third Proportional to 319,988 and 687,461

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Solution

The third proportional to 319,988 and 687,461 is: 1,476,938.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,988 : 687,461 = 687,461 : x
  2. Step 2: Convert to fraction form
    319,988/687,461 = 687,461/x
  3. Step 3: Cross multiply
    319,988x = 687,461 × 687,461
  4. Step 4: Simplify right side
    319,988x = 472,602,626,521
  5. Step 5: Solve for x
    x = 472,602,626,521/319,988
  6. Step 6: Final answer
    x = 1,476,938.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.