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Finding the Third Proportional to 415,339 and 545,371.50

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Solution

The third proportional to 415,339 and 545,371.50 is: 716,114.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,339 : 545,371.50 = 545,371.50 : x
  2. Step 2: Convert to fraction form
    415,339/545,371.50 = 545,371.50/x
  3. Step 3: Cross multiply
    415,339x = 545,371.50 × 545,371.50
  4. Step 4: Simplify right side
    415,339x = 297,430,073,012.25
  5. Step 5: Solve for x
    x = 297,430,073,012.25/415,339
  6. Step 6: Final answer
    x = 716,114.00

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.