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Finding the Third Proportional to 294,837.75 and 702,088.88

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Solution

The third proportional to 294,837.75 and 702,088.88 is: 1,671,864.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,837.75 : 702,088.88 = 702,088.88 : x
  2. Step 2: Convert to fraction form
    294,837.75/702,088.88 = 702,088.88/x
  3. Step 3: Cross multiply
    294,837.75x = 702,088.88 × 702,088.88
  4. Step 4: Simplify right side
    294,837.75x = 492,928,788,398.77
  5. Step 5: Solve for x
    x = 492,928,788,398.77/294,837.75
  6. Step 6: Final answer
    x = 1,671,864.57

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.