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Finding the Third Proportional to 714,197 and 968,875.50

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Solution

The third proportional to 714,197 and 968,875.50 is: 1,314,370.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,197 : 968,875.50 = 968,875.50 : x
  2. Step 2: Convert to fraction form
    714,197/968,875.50 = 968,875.50/x
  3. Step 3: Cross multiply
    714,197x = 968,875.50 × 968,875.50
  4. Step 4: Simplify right side
    714,197x = 938,719,734,500.25
  5. Step 5: Solve for x
    x = 938,719,734,500.25/714,197
  6. Step 6: Final answer
    x = 1,314,370.87

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.