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Finding the Third Proportional to 555,461.25 and 829,558.50

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Solution

The third proportional to 555,461.25 and 829,558.50 is: 1,238,911.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,461.25 : 829,558.50 = 829,558.50 : x
  2. Step 2: Convert to fraction form
    555,461.25/829,558.50 = 829,558.50/x
  3. Step 3: Cross multiply
    555,461.25x = 829,558.50 × 829,558.50
  4. Step 4: Simplify right side
    555,461.25x = 688,167,304,922.25
  5. Step 5: Solve for x
    x = 688,167,304,922.25/555,461.25
  6. Step 6: Final answer
    x = 1,238,911.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.