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Finding the Third Proportional to 337,641.75 and 515,038.50

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Solution

The third proportional to 337,641.75 and 515,038.50 is: 785,639.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,641.75 : 515,038.50 = 515,038.50 : x
  2. Step 2: Convert to fraction form
    337,641.75/515,038.50 = 515,038.50/x
  3. Step 3: Cross multiply
    337,641.75x = 515,038.50 × 515,038.50
  4. Step 4: Simplify right side
    337,641.75x = 265,264,656,482.25
  5. Step 5: Solve for x
    x = 265,264,656,482.25/337,641.75
  6. Step 6: Final answer
    x = 785,639.38

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.