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Finding the Third Proportional to 384,534 and 573,614

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Solution

The third proportional to 384,534 and 573,614 is: 855,666.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,534 : 573,614 = 573,614 : x
  2. Step 2: Convert to fraction form
    384,534/573,614 = 573,614/x
  3. Step 3: Cross multiply
    384,534x = 573,614 × 573,614
  4. Step 4: Simplify right side
    384,534x = 329,033,020,996
  5. Step 5: Solve for x
    x = 329,033,020,996/384,534
  6. Step 6: Final answer
    x = 855,666.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.