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Finding the Third Proportional to 202,312 and 442,721

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Solution

The third proportional to 202,312 and 442,721 is: 968,809.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,312 : 442,721 = 442,721 : x
  2. Step 2: Convert to fraction form
    202,312/442,721 = 442,721/x
  3. Step 3: Cross multiply
    202,312x = 442,721 × 442,721
  4. Step 4: Simplify right side
    202,312x = 196,001,883,841
  5. Step 5: Solve for x
    x = 196,001,883,841/202,312
  6. Step 6: Final answer
    x = 968,809.98

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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.