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Finding the Third Proportional to 310,842 and 456,062

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Solution

The third proportional to 310,842 and 456,062 is: 669,126.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,842 : 456,062 = 456,062 : x
  2. Step 2: Convert to fraction form
    310,842/456,062 = 456,062/x
  3. Step 3: Cross multiply
    310,842x = 456,062 × 456,062
  4. Step 4: Simplify right side
    310,842x = 207,992,547,844
  5. Step 5: Solve for x
    x = 207,992,547,844/310,842
  6. Step 6: Final answer
    x = 669,126.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.