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Finding the Third Proportional to 240,357 and 377,032.50

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Solution

The third proportional to 240,357 and 377,032.50 is: 591,426.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,357 : 377,032.50 = 377,032.50 : x
  2. Step 2: Convert to fraction form
    240,357/377,032.50 = 377,032.50/x
  3. Step 3: Cross multiply
    240,357x = 377,032.50 × 377,032.50
  4. Step 4: Simplify right side
    240,357x = 142,153,506,056.25
  5. Step 5: Solve for x
    x = 142,153,506,056.25/240,357
  6. Step 6: Final answer
    x = 591,426.53

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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.