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Finding the Third Proportional to 213,332 and 460,888

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Solution

The third proportional to 213,332 and 460,888 is: 995,714.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,332 : 460,888 = 460,888 : x
  2. Step 2: Convert to fraction form
    213,332/460,888 = 460,888/x
  3. Step 3: Cross multiply
    213,332x = 460,888 × 460,888
  4. Step 4: Simplify right side
    213,332x = 212,417,748,544
  5. Step 5: Solve for x
    x = 212,417,748,544/213,332
  6. Step 6: Final answer
    x = 995,714.42

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Why These Related Problems?

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