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Finding the Third Proportional to 360,223.50 and 565,063.50

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Solution

The third proportional to 360,223.50 and 565,063.50 is: 886,385.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,223.50 : 565,063.50 = 565,063.50 : x
  2. Step 2: Convert to fraction form
    360,223.50/565,063.50 = 565,063.50/x
  3. Step 3: Cross multiply
    360,223.50x = 565,063.50 × 565,063.50
  4. Step 4: Simplify right side
    360,223.50x = 319,296,759,032.25
  5. Step 5: Solve for x
    x = 319,296,759,032.25/360,223.50
  6. Step 6: Final answer
    x = 886,385.14

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