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Finding the Third Proportional to 368,352 and 553,895

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Solution

The third proportional to 368,352 and 553,895 is: 832,898.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,352 : 553,895 = 553,895 : x
  2. Step 2: Convert to fraction form
    368,352/553,895 = 553,895/x
  3. Step 3: Cross multiply
    368,352x = 553,895 × 553,895
  4. Step 4: Simplify right side
    368,352x = 306,799,671,025
  5. Step 5: Solve for x
    x = 306,799,671,025/368,352
  6. Step 6: Final answer
    x = 832,898.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.