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Finding the Third Proportional to 278,700.75 and 602,113.50

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Solution

The third proportional to 278,700.75 and 602,113.50 is: 1,300,824.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,700.75 : 602,113.50 = 602,113.50 : x
  2. Step 2: Convert to fraction form
    278,700.75/602,113.50 = 602,113.50/x
  3. Step 3: Cross multiply
    278,700.75x = 602,113.50 × 602,113.50
  4. Step 4: Simplify right side
    278,700.75x = 362,540,666,882.25
  5. Step 5: Solve for x
    x = 362,540,666,882.25/278,700.75
  6. Step 6: Final answer
    x = 1,300,824.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.