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Finding the Third Proportional to 296,230.50 and 423,316.13

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Solution

The third proportional to 296,230.50 and 423,316.13 is: 604,922.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,230.50 : 423,316.13 = 423,316.13 : x
  2. Step 2: Convert to fraction form
    296,230.50/423,316.13 = 423,316.13/x
  3. Step 3: Cross multiply
    296,230.50x = 423,316.13 × 423,316.13
  4. Step 4: Simplify right side
    296,230.50x = 179,196,541,685.02
  5. Step 5: Solve for x
    x = 179,196,541,685.02/296,230.50
  6. Step 6: Final answer
    x = 604,922.66

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.