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Finding the Third Proportional to 349,510 and 756,146

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Solution

The third proportional to 349,510 and 756,146 is: 1,635,881.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,510 : 756,146 = 756,146 : x
  2. Step 2: Convert to fraction form
    349,510/756,146 = 756,146/x
  3. Step 3: Cross multiply
    349,510x = 756,146 × 756,146
  4. Step 4: Simplify right side
    349,510x = 571,756,773,316
  5. Step 5: Solve for x
    x = 571,756,773,316/349,510
  6. Step 6: Final answer
    x = 1,635,881.01

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.