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Finding the Third Proportional to 360,244 and 565,090

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Solution

The third proportional to 360,244 and 565,090 is: 886,417.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,244 : 565,090 = 565,090 : x
  2. Step 2: Convert to fraction form
    360,244/565,090 = 565,090/x
  3. Step 3: Cross multiply
    360,244x = 565,090 × 565,090
  4. Step 4: Simplify right side
    360,244x = 319,326,708,100
  5. Step 5: Solve for x
    x = 319,326,708,100/360,244
  6. Step 6: Final answer
    x = 886,417.84

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.