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Finding the Third Proportional to 721,334.50 and 1,125,673.50

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Solution

The third proportional to 721,334.50 and 1,125,673.50 is: 1,756,661.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,334.50 : 1,125,673.50 = 1,125,673.50 : x
  2. Step 2: Convert to fraction form
    721,334.50/1,125,673.50 = 1,125,673.50/x
  3. Step 3: Cross multiply
    721,334.50x = 1,125,673.50 × 1,125,673.50
  4. Step 4: Simplify right side
    721,334.50x = 1,267,140,828,602.25
  5. Step 5: Solve for x
    x = 1,267,140,828,602.25/721,334.50
  6. Step 6: Final answer
    x = 1,756,661.89

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.