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Finding the Third Proportional to 562,728.94 and 872,656.88

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Solution

The third proportional to 562,728.94 and 872,656.88 is: 1,353,280.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,728.94 : 872,656.88 = 872,656.88 : x
  2. Step 2: Convert to fraction form
    562,728.94/872,656.88 = 872,656.88/x
  3. Step 3: Cross multiply
    562,728.94x = 872,656.88 × 872,656.88
  4. Step 4: Simplify right side
    562,728.94x = 761,530,021,484.77
  5. Step 5: Solve for x
    x = 761,530,021,484.77/562,728.94
  6. Step 6: Final answer
    x = 1,353,280.36

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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.