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Finding the Third Proportional to 360,548 and 560,488

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Solution

The third proportional to 360,548 and 560,488 is: 871,303.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,548 : 560,488 = 560,488 : x
  2. Step 2: Convert to fraction form
    360,548/560,488 = 560,488/x
  3. Step 3: Cross multiply
    360,548x = 560,488 × 560,488
  4. Step 4: Simplify right side
    360,548x = 314,146,798,144
  5. Step 5: Solve for x
    x = 314,146,798,144/360,548
  6. Step 6: Final answer
    x = 871,303.68

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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.