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Finding the Third Proportional to 369,088 and 578,233

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Solution

The third proportional to 369,088 and 578,233 is: 905,890.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,088 : 578,233 = 578,233 : x
  2. Step 2: Convert to fraction form
    369,088/578,233 = 578,233/x
  3. Step 3: Cross multiply
    369,088x = 578,233 × 578,233
  4. Step 4: Simplify right side
    369,088x = 334,353,402,289
  5. Step 5: Solve for x
    x = 334,353,402,289/369,088
  6. Step 6: Final answer
    x = 905,890.74

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.