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Finding the Third Proportional to 698,953.50 and 1,528,742.25

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Solution

The third proportional to 698,953.50 and 1,528,742.25 is: 3,343,645.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,953.50 : 1,528,742.25 = 1,528,742.25 : x
  2. Step 2: Convert to fraction form
    698,953.50/1,528,742.25 = 1,528,742.25/x
  3. Step 3: Cross multiply
    698,953.50x = 1,528,742.25 × 1,528,742.25
  4. Step 4: Simplify right side
    698,953.50x = 2,337,052,866,935.06
  5. Step 5: Solve for x
    x = 2,337,052,866,935.06/698,953.50
  6. Step 6: Final answer
    x = 3,343,645.70

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.