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Finding the Third Proportional to 700,459.31 and 1,025,708.06

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Solution

The third proportional to 700,459.31 and 1,025,708.06 is: 1,501,981.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,459.31 : 1,025,708.06 = 1,025,708.06 : x
  2. Step 2: Convert to fraction form
    700,459.31/1,025,708.06 = 1,025,708.06/x
  3. Step 3: Cross multiply
    700,459.31x = 1,025,708.06 × 1,025,708.06
  4. Step 4: Simplify right side
    700,459.31x = 1,052,077,029,477.50
  5. Step 5: Solve for x
    x = 1,052,077,029,477.50/700,459.31
  6. Step 6: Final answer
    x = 1,501,981.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.