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Finding the Third Proportional to 572,068 and 856,998

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Solution

The third proportional to 572,068 and 856,998 is: 1,283,843.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,068 : 856,998 = 856,998 : x
  2. Step 2: Convert to fraction form
    572,068/856,998 = 856,998/x
  3. Step 3: Cross multiply
    572,068x = 856,998 × 856,998
  4. Step 4: Simplify right side
    572,068x = 734,445,572,004
  5. Step 5: Solve for x
    x = 734,445,572,004/572,068
  6. Step 6: Final answer
    x = 1,283,843.13

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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.