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Finding the Third Proportional to 703,536.75 and 1,164,417.75

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Solution

The third proportional to 703,536.75 and 1,164,417.75 is: 1,927,218.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,536.75 : 1,164,417.75 = 1,164,417.75 : x
  2. Step 2: Convert to fraction form
    703,536.75/1,164,417.75 = 1,164,417.75/x
  3. Step 3: Cross multiply
    703,536.75x = 1,164,417.75 × 1,164,417.75
  4. Step 4: Simplify right side
    703,536.75x = 1,355,868,696,515.06
  5. Step 5: Solve for x
    x = 1,355,868,696,515.06/703,536.75
  6. Step 6: Final answer
    x = 1,927,218.01

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.