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Finding the Third Proportional to 567,870.75 and 872,835.75

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Solution

The third proportional to 567,870.75 and 872,835.75 is: 1,341,576.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,870.75 : 872,835.75 = 872,835.75 : x
  2. Step 2: Convert to fraction form
    567,870.75/872,835.75 = 872,835.75/x
  3. Step 3: Cross multiply
    567,870.75x = 872,835.75 × 872,835.75
  4. Step 4: Simplify right side
    567,870.75x = 761,842,246,478.06
  5. Step 5: Solve for x
    x = 761,842,246,478.06/567,870.75
  6. Step 6: Final answer
    x = 1,341,576.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.