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Finding the Third Proportional to 294,842 and 692,501

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Solution

The third proportional to 294,842 and 692,501 is: 1,626,490.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,842 : 692,501 = 692,501 : x
  2. Step 2: Convert to fraction form
    294,842/692,501 = 692,501/x
  3. Step 3: Cross multiply
    294,842x = 692,501 × 692,501
  4. Step 4: Simplify right side
    294,842x = 479,557,635,001
  5. Step 5: Solve for x
    x = 479,557,635,001/294,842
  6. Step 6: Final answer
    x = 1,626,490.24

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.