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Finding the Third Proportional to 370,381.50 and 553,135.50

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Solution

The third proportional to 370,381.50 and 553,135.50 is: 826,064.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,381.50 : 553,135.50 = 553,135.50 : x
  2. Step 2: Convert to fraction form
    370,381.50/553,135.50 = 553,135.50/x
  3. Step 3: Cross multiply
    370,381.50x = 553,135.50 × 553,135.50
  4. Step 4: Simplify right side
    370,381.50x = 305,958,881,360.25
  5. Step 5: Solve for x
    x = 305,958,881,360.25/370,381.50
  6. Step 6: Final answer
    x = 826,064.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.