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Finding the Third Proportional to 306,053 and 465,854

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Solution

The third proportional to 306,053 and 465,854 is: 709,092.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,053 : 465,854 = 465,854 : x
  2. Step 2: Convert to fraction form
    306,053/465,854 = 465,854/x
  3. Step 3: Cross multiply
    306,053x = 465,854 × 465,854
  4. Step 4: Simplify right side
    306,053x = 217,019,949,316
  5. Step 5: Solve for x
    x = 217,019,949,316/306,053
  6. Step 6: Final answer
    x = 709,092.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.