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Finding the Third Proportional to 360,240 and 565,083.75

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Solution

The third proportional to 360,240 and 565,083.75 is: 886,408.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,240 : 565,083.75 = 565,083.75 : x
  2. Step 2: Convert to fraction form
    360,240/565,083.75 = 565,083.75/x
  3. Step 3: Cross multiply
    360,240x = 565,083.75 × 565,083.75
  4. Step 4: Simplify right side
    360,240x = 319,319,644,514.06
  5. Step 5: Solve for x
    x = 319,319,644,514.06/360,240
  6. Step 6: Final answer
    x = 886,408.07

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1.5x scale

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.