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Finding the Third Proportional to 410,291.50 and 602,124.50

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Solution

The third proportional to 410,291.50 and 602,124.50 is: 883,649.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,291.50 : 602,124.50 = 602,124.50 : x
  2. Step 2: Convert to fraction form
    410,291.50/602,124.50 = 602,124.50/x
  3. Step 3: Cross multiply
    410,291.50x = 602,124.50 × 602,124.50
  4. Step 4: Simplify right side
    410,291.50x = 362,553,913,500.25
  5. Step 5: Solve for x
    x = 362,553,913,500.25/410,291.50
  6. Step 6: Final answer
    x = 883,649.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.