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Finding the Third Proportional to 301,330.13 and 455,882.63

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Solution

The third proportional to 301,330.13 and 455,882.63 is: 689,705.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,330.13 : 455,882.63 = 455,882.63 : x
  2. Step 2: Convert to fraction form
    301,330.13/455,882.63 = 455,882.63/x
  3. Step 3: Cross multiply
    301,330.13x = 455,882.63 × 455,882.63
  4. Step 4: Simplify right side
    301,330.13x = 207,828,967,776.89
  5. Step 5: Solve for x
    x = 207,828,967,776.89/301,330.13
  6. Step 6: Final answer
    x = 689,705.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.