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Finding the Third Proportional to 427,509 and 676,912.50

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Solution

The third proportional to 427,509 and 676,912.50 is: 1,071,814.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,509 : 676,912.50 = 676,912.50 : x
  2. Step 2: Convert to fraction form
    427,509/676,912.50 = 676,912.50/x
  3. Step 3: Cross multiply
    427,509x = 676,912.50 × 676,912.50
  4. Step 4: Simplify right side
    427,509x = 458,210,532,656.25
  5. Step 5: Solve for x
    x = 458,210,532,656.25/427,509
  6. Step 6: Final answer
    x = 1,071,814.94

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.