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Finding the Third Proportional to 535,123.97 and 828,751.50

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Solution

The third proportional to 535,123.97 and 828,751.50 is: 1,283,495.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,123.97 : 828,751.50 = 828,751.50 : x
  2. Step 2: Convert to fraction form
    535,123.97/828,751.50 = 828,751.50/x
  3. Step 3: Cross multiply
    535,123.97x = 828,751.50 × 828,751.50
  4. Step 4: Simplify right side
    535,123.97x = 686,829,048,752.25
  5. Step 5: Solve for x
    x = 686,829,048,752.25/535,123.97
  6. Step 6: Final answer
    x = 1,283,495.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.