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Finding the Third Proportional to 527,580 and 816,588

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Solution

The third proportional to 527,580 and 816,588 is: 1,263,914.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,580 : 816,588 = 816,588 : x
  2. Step 2: Convert to fraction form
    527,580/816,588 = 816,588/x
  3. Step 3: Cross multiply
    527,580x = 816,588 × 816,588
  4. Step 4: Simplify right side
    527,580x = 666,815,961,744
  5. Step 5: Solve for x
    x = 666,815,961,744/527,580
  6. Step 6: Final answer
    x = 1,263,914.40

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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.