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Finding the Third Proportional to 492,132 and 760,006.50

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Solution

The third proportional to 492,132 and 760,006.50 is: 1,173,688.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,132 : 760,006.50 = 760,006.50 : x
  2. Step 2: Convert to fraction form
    492,132/760,006.50 = 760,006.50/x
  3. Step 3: Cross multiply
    492,132x = 760,006.50 × 760,006.50
  4. Step 4: Simplify right side
    492,132x = 577,609,880,042.25
  5. Step 5: Solve for x
    x = 577,609,880,042.25/492,132
  6. Step 6: Final answer
    x = 1,173,688.93

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.