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Finding the Third Proportional to 523,073.95 and 807,918.05

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Solution

The third proportional to 523,073.95 and 807,918.05 is: 1,247,876.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,073.95 : 807,918.05 = 807,918.05 : x
  2. Step 2: Convert to fraction form
    523,073.95/807,918.05 = 807,918.05/x
  3. Step 3: Cross multiply
    523,073.95x = 807,918.05 × 807,918.05
  4. Step 4: Simplify right side
    523,073.95x = 652,731,570,466.32
  5. Step 5: Solve for x
    x = 652,731,570,466.32/523,073.95
  6. Step 6: Final answer
    x = 1,247,876.26

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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.