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Finding the Third Proportional to 426,343.50 and 615,942

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Solution

The third proportional to 426,343.50 and 615,942 is: 889,856.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,343.50 : 615,942 = 615,942 : x
  2. Step 2: Convert to fraction form
    426,343.50/615,942 = 615,942/x
  3. Step 3: Cross multiply
    426,343.50x = 615,942 × 615,942
  4. Step 4: Simplify right side
    426,343.50x = 379,384,547,364
  5. Step 5: Solve for x
    x = 379,384,547,364/426,343.50
  6. Step 6: Final answer
    x = 889,856.53

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.