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Finding the Third Proportional to 572,284.50 and 885,726.50

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Solution

The third proportional to 572,284.50 and 885,726.50 is: 1,370,841.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,284.50 : 885,726.50 = 885,726.50 : x
  2. Step 2: Convert to fraction form
    572,284.50/885,726.50 = 885,726.50/x
  3. Step 3: Cross multiply
    572,284.50x = 885,726.50 × 885,726.50
  4. Step 4: Simplify right side
    572,284.50x = 784,511,432,802.25
  5. Step 5: Solve for x
    x = 784,511,432,802.25/572,284.50
  6. Step 6: Final answer
    x = 1,370,841.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.