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Finding the Third Proportional to 452,128.50 and 614,047.50

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Solution

The third proportional to 452,128.50 and 614,047.50 is: 833,953.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,128.50 : 614,047.50 = 614,047.50 : x
  2. Step 2: Convert to fraction form
    452,128.50/614,047.50 = 614,047.50/x
  3. Step 3: Cross multiply
    452,128.50x = 614,047.50 × 614,047.50
  4. Step 4: Simplify right side
    452,128.50x = 377,054,332,256.25
  5. Step 5: Solve for x
    x = 377,054,332,256.25/452,128.50
  6. Step 6: Final answer
    x = 833,953.91

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.