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Finding the Third Proportional to 210,363 and 461,550

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Solution

The third proportional to 210,363 and 461,550 is: 1,012,670.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,363 : 461,550 = 461,550 : x
  2. Step 2: Convert to fraction form
    210,363/461,550 = 461,550/x
  3. Step 3: Cross multiply
    210,363x = 461,550 × 461,550
  4. Step 4: Simplify right side
    210,363x = 213,028,402,500
  5. Step 5: Solve for x
    x = 213,028,402,500/210,363
  6. Step 6: Final answer
    x = 1,012,670.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.