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Finding the Third Proportional to 295,780 and 458,844

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Solution

The third proportional to 295,780 and 458,844 is: 711,805.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,780 : 458,844 = 458,844 : x
  2. Step 2: Convert to fraction form
    295,780/458,844 = 458,844/x
  3. Step 3: Cross multiply
    295,780x = 458,844 × 458,844
  4. Step 4: Simplify right side
    295,780x = 210,537,816,336
  5. Step 5: Solve for x
    x = 210,537,816,336/295,780
  6. Step 6: Final answer
    x = 711,805.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.