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Finding the Third Proportional to 213,654 and 460,518

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Solution

The third proportional to 213,654 and 460,518 is: 992,618.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,654 : 460,518 = 460,518 : x
  2. Step 2: Convert to fraction form
    213,654/460,518 = 460,518/x
  3. Step 3: Cross multiply
    213,654x = 460,518 × 460,518
  4. Step 4: Simplify right side
    213,654x = 212,076,828,324
  5. Step 5: Solve for x
    x = 212,076,828,324/213,654
  6. Step 6: Final answer
    x = 992,618.10

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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.