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Finding the Third Proportional to 346,933.13 and 760,296.38

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Solution

The third proportional to 346,933.13 and 760,296.38 is: 1,666,172.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,933.13 : 760,296.38 = 760,296.38 : x
  2. Step 2: Convert to fraction form
    346,933.13/760,296.38 = 760,296.38/x
  3. Step 3: Cross multiply
    346,933.13x = 760,296.38 × 760,296.38
  4. Step 4: Simplify right side
    346,933.13x = 578,050,577,838.14
  5. Step 5: Solve for x
    x = 578,050,577,838.14/346,933.13
  6. Step 6: Final answer
    x = 1,666,172.92

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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.