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Finding the Third Proportional to 293,502 and 418,587

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Solution

The third proportional to 293,502 and 418,587 is: 596,980.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,502 : 418,587 = 418,587 : x
  2. Step 2: Convert to fraction form
    293,502/418,587 = 418,587/x
  3. Step 3: Cross multiply
    293,502x = 418,587 × 418,587
  4. Step 4: Simplify right side
    293,502x = 175,215,076,569
  5. Step 5: Solve for x
    x = 175,215,076,569/293,502
  6. Step 6: Final answer
    x = 596,980.86

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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.