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Finding the Third Proportional to 364,776 and 569,304

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Solution

The third proportional to 364,776 and 569,304 is: 888,509.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,776 : 569,304 = 569,304 : x
  2. Step 2: Convert to fraction form
    364,776/569,304 = 569,304/x
  3. Step 3: Cross multiply
    364,776x = 569,304 × 569,304
  4. Step 4: Simplify right side
    364,776x = 324,107,044,416
  5. Step 5: Solve for x
    x = 324,107,044,416/364,776
  6. Step 6: Final answer
    x = 888,509.78

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.