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Finding the Third Proportional to 346,993.88 and 760,417.88

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Solution

The third proportional to 346,993.88 and 760,417.88 is: 1,666,413.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,993.88 : 760,417.88 = 760,417.88 : x
  2. Step 2: Convert to fraction form
    346,993.88/760,417.88 = 760,417.88/x
  3. Step 3: Cross multiply
    346,993.88x = 760,417.88 × 760,417.88
  4. Step 4: Simplify right side
    346,993.88x = 578,235,344,619.52
  5. Step 5: Solve for x
    x = 578,235,344,619.52/346,993.88
  6. Step 6: Final answer
    x = 1,666,413.69

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Why These Related Problems?

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