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Finding the Third Proportional to 282,384.28 and 430,192.55

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Solution

The third proportional to 282,384.28 and 430,192.55 is: 655,368.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,384.28 : 430,192.55 = 430,192.55 : x
  2. Step 2: Convert to fraction form
    282,384.28/430,192.55 = 430,192.55/x
  3. Step 3: Cross multiply
    282,384.28x = 430,192.55 × 430,192.55
  4. Step 4: Simplify right side
    282,384.28x = 185,065,627,386.80
  5. Step 5: Solve for x
    x = 185,065,627,386.80/282,384.28
  6. Step 6: Final answer
    x = 655,368.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.