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Finding the Third Proportional to 360,352 and 565,278

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Solution

The third proportional to 360,352 and 565,278 is: 886,741.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,352 : 565,278 = 565,278 : x
  2. Step 2: Convert to fraction form
    360,352/565,278 = 565,278/x
  3. Step 3: Cross multiply
    360,352x = 565,278 × 565,278
  4. Step 4: Simplify right side
    360,352x = 319,539,217,284
  5. Step 5: Solve for x
    x = 319,539,217,284/360,352
  6. Step 6: Final answer
    x = 886,741.90

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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.