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Finding the Third Proportional to 292,810.25 and 442,905.94

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Solution

The third proportional to 292,810.25 and 442,905.94 is: 669,941.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,810.25 : 442,905.94 = 442,905.94 : x
  2. Step 2: Convert to fraction form
    292,810.25/442,905.94 = 442,905.94/x
  3. Step 3: Cross multiply
    292,810.25x = 442,905.94 × 442,905.94
  4. Step 4: Simplify right side
    292,810.25x = 196,165,674,663.05
  5. Step 5: Solve for x
    x = 196,165,674,663.05/292,810.25
  6. Step 6: Final answer
    x = 669,941.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.