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Finding the Third Proportional to 293,301 and 578,097

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Solution

The third proportional to 293,301 and 578,097 is: 1,139,430.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,301 : 578,097 = 578,097 : x
  2. Step 2: Convert to fraction form
    293,301/578,097 = 578,097/x
  3. Step 3: Cross multiply
    293,301x = 578,097 × 578,097
  4. Step 4: Simplify right side
    293,301x = 334,196,141,409
  5. Step 5: Solve for x
    x = 334,196,141,409/293,301
  6. Step 6: Final answer
    x = 1,139,430.62

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.