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Finding the Third Proportional to 300,312 and 652,892

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Solution

The third proportional to 300,312 and 652,892 is: 1,419,417.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,312 : 652,892 = 652,892 : x
  2. Step 2: Convert to fraction form
    300,312/652,892 = 652,892/x
  3. Step 3: Cross multiply
    300,312x = 652,892 × 652,892
  4. Step 4: Simplify right side
    300,312x = 426,267,963,664
  5. Step 5: Solve for x
    x = 426,267,963,664/300,312
  6. Step 6: Final answer
    x = 1,419,417.02

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.