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Finding the Third Proportional to 526,827.80 and 752,823.49

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Solution

The third proportional to 526,827.80 and 752,823.49 is: 1,075,765.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,827.80 : 752,823.49 = 752,823.49 : x
  2. Step 2: Convert to fraction form
    526,827.80/752,823.49 = 752,823.49/x
  3. Step 3: Cross multiply
    526,827.80x = 752,823.49 × 752,823.49
  4. Step 4: Simplify right side
    526,827.80x = 566,743,210,389.38
  5. Step 5: Solve for x
    x = 566,743,210,389.38/526,827.80
  6. Step 6: Final answer
    x = 1,075,765.58

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.