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Finding the Third Proportional to 302,643.50 and 424,146.50

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Solution

The third proportional to 302,643.50 and 424,146.50 is: 594,429.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,643.50 : 424,146.50 = 424,146.50 : x
  2. Step 2: Convert to fraction form
    302,643.50/424,146.50 = 424,146.50/x
  3. Step 3: Cross multiply
    302,643.50x = 424,146.50 × 424,146.50
  4. Step 4: Simplify right side
    302,643.50x = 179,900,253,462.25
  5. Step 5: Solve for x
    x = 179,900,253,462.25/302,643.50
  6. Step 6: Final answer
    x = 594,429.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.