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Finding the Third Proportional to 210,566.25 and 456,597

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Solution

The third proportional to 210,566.25 and 456,597 is: 990,096.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,566.25 : 456,597 = 456,597 : x
  2. Step 2: Convert to fraction form
    210,566.25/456,597 = 456,597/x
  3. Step 3: Cross multiply
    210,566.25x = 456,597 × 456,597
  4. Step 4: Simplify right side
    210,566.25x = 208,480,820,409
  5. Step 5: Solve for x
    x = 208,480,820,409/210,566.25
  6. Step 6: Final answer
    x = 990,096.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.