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Finding the Third Proportional to 212,310 and 456,066

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Solution

The third proportional to 212,310 and 456,066 is: 979,681.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,310 : 456,066 = 456,066 : x
  2. Step 2: Convert to fraction form
    212,310/456,066 = 456,066/x
  3. Step 3: Cross multiply
    212,310x = 456,066 × 456,066
  4. Step 4: Simplify right side
    212,310x = 207,996,196,356
  5. Step 5: Solve for x
    x = 207,996,196,356/212,310
  6. Step 6: Final answer
    x = 979,681.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.