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Finding the Third Proportional to 585,973.88 and 880,521

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Solution

The third proportional to 585,973.88 and 880,521 is: 1,323,125.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,973.88 : 880,521 = 880,521 : x
  2. Step 2: Convert to fraction form
    585,973.88/880,521 = 880,521/x
  3. Step 3: Cross multiply
    585,973.88x = 880,521 × 880,521
  4. Step 4: Simplify right side
    585,973.88x = 775,317,231,441
  5. Step 5: Solve for x
    x = 775,317,231,441/585,973.88
  6. Step 6: Final answer
    x = 1,323,125.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.