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Finding the Third Proportional to 531,715.50 and 817,284

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Solution

The third proportional to 531,715.50 and 817,284 is: 1,256,222.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,715.50 : 817,284 = 817,284 : x
  2. Step 2: Convert to fraction form
    531,715.50/817,284 = 817,284/x
  3. Step 3: Cross multiply
    531,715.50x = 817,284 × 817,284
  4. Step 4: Simplify right side
    531,715.50x = 667,953,136,656
  5. Step 5: Solve for x
    x = 667,953,136,656/531,715.50
  6. Step 6: Final answer
    x = 1,256,222.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.