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Finding the Third Proportional to 514,735.50 and 776,154

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Solution

The third proportional to 514,735.50 and 776,154 is: 1,170,339.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,735.50 : 776,154 = 776,154 : x
  2. Step 2: Convert to fraction form
    514,735.50/776,154 = 776,154/x
  3. Step 3: Cross multiply
    514,735.50x = 776,154 × 776,154
  4. Step 4: Simplify right side
    514,735.50x = 602,415,031,716
  5. Step 5: Solve for x
    x = 602,415,031,716/514,735.50
  6. Step 6: Final answer
    x = 1,170,339.00

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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.