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Finding the Third Proportional to 210,552 and 456,575

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Solution

The third proportional to 210,552 and 456,575 is: 990,067.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,552 : 456,575 = 456,575 : x
  2. Step 2: Convert to fraction form
    210,552/456,575 = 456,575/x
  3. Step 3: Cross multiply
    210,552x = 456,575 × 456,575
  4. Step 4: Simplify right side
    210,552x = 208,460,730,625
  5. Step 5: Solve for x
    x = 208,460,730,625/210,552
  6. Step 6: Final answer
    x = 990,067.68

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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.