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Finding the Third Proportional to 369,099 and 553,650

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Solution

The third proportional to 369,099 and 553,650 is: 830,477.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,099 : 553,650 = 553,650 : x
  2. Step 2: Convert to fraction form
    369,099/553,650 = 553,650/x
  3. Step 3: Cross multiply
    369,099x = 553,650 × 553,650
  4. Step 4: Simplify right side
    369,099x = 306,528,322,500
  5. Step 5: Solve for x
    x = 306,528,322,500/369,099
  6. Step 6: Final answer
    x = 830,477.25

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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.