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Finding the Third Proportional to 710,866.13 and 922,200.19

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Solution

The third proportional to 710,866.13 and 922,200.19 is: 1,196,361.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,866.13 : 922,200.19 = 922,200.19 : x
  2. Step 2: Convert to fraction form
    710,866.13/922,200.19 = 922,200.19/x
  3. Step 3: Cross multiply
    710,866.13x = 922,200.19 × 922,200.19
  4. Step 4: Simplify right side
    710,866.13x = 850,453,185,825.04
  5. Step 5: Solve for x
    x = 850,453,185,825.04/710,866.13
  6. Step 6: Final answer
    x = 1,196,361.95

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.