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Finding the Third Proportional to 335,703 and 745,998

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Solution

The third proportional to 335,703 and 745,998 is: 1,657,754.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,703 : 745,998 = 745,998 : x
  2. Step 2: Convert to fraction form
    335,703/745,998 = 745,998/x
  3. Step 3: Cross multiply
    335,703x = 745,998 × 745,998
  4. Step 4: Simplify right side
    335,703x = 556,513,016,004
  5. Step 5: Solve for x
    x = 556,513,016,004/335,703
  6. Step 6: Final answer
    x = 1,657,754.07

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.