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Finding the Third Proportional to 491,688 and 742,027.50

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Solution

The third proportional to 491,688 and 742,027.50 is: 1,119,825.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,688 : 742,027.50 = 742,027.50 : x
  2. Step 2: Convert to fraction form
    491,688/742,027.50 = 742,027.50/x
  3. Step 3: Cross multiply
    491,688x = 742,027.50 × 742,027.50
  4. Step 4: Simplify right side
    491,688x = 550,604,810,756.25
  5. Step 5: Solve for x
    x = 550,604,810,756.25/491,688
  6. Step 6: Final answer
    x = 1,119,825.60

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.