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Finding the Third Proportional to 310,102 and 669,772

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Solution

The third proportional to 310,102 and 669,772 is: 1,446,603.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,102 : 669,772 = 669,772 : x
  2. Step 2: Convert to fraction form
    310,102/669,772 = 669,772/x
  3. Step 3: Cross multiply
    310,102x = 669,772 × 669,772
  4. Step 4: Simplify right side
    310,102x = 448,594,531,984
  5. Step 5: Solve for x
    x = 448,594,531,984/310,102
  6. Step 6: Final answer
    x = 1,446,603.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.