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Finding the Third Proportional to 531,916.50 and 797,875.50

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Solution

The third proportional to 531,916.50 and 797,875.50 is: 1,196,814.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,916.50 : 797,875.50 = 797,875.50 : x
  2. Step 2: Convert to fraction form
    531,916.50/797,875.50 = 797,875.50/x
  3. Step 3: Cross multiply
    531,916.50x = 797,875.50 × 797,875.50
  4. Step 4: Simplify right side
    531,916.50x = 636,605,313,500.25
  5. Step 5: Solve for x
    x = 636,605,313,500.25/531,916.50
  6. Step 6: Final answer
    x = 1,196,814.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.