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Finding the Third Proportional to 575,070.75 and 870,665.63

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Solution

The third proportional to 575,070.75 and 870,665.63 is: 1,318,200.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,070.75 : 870,665.63 = 870,665.63 : x
  2. Step 2: Convert to fraction form
    575,070.75/870,665.63 = 870,665.63/x
  3. Step 3: Cross multiply
    575,070.75x = 870,665.63 × 870,665.63
  4. Step 4: Simplify right side
    575,070.75x = 758,058,630,556.64
  5. Step 5: Solve for x
    x = 758,058,630,556.64/575,070.75
  6. Step 6: Final answer
    x = 1,318,200.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.