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Finding the Third Proportional to 334,098 and 550,894.50

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Solution

The third proportional to 334,098 and 550,894.50 is: 908,370.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,098 : 550,894.50 = 550,894.50 : x
  2. Step 2: Convert to fraction form
    334,098/550,894.50 = 550,894.50/x
  3. Step 3: Cross multiply
    334,098x = 550,894.50 × 550,894.50
  4. Step 4: Simplify right side
    334,098x = 303,484,750,130.25
  5. Step 5: Solve for x
    x = 303,484,750,130.25/334,098
  6. Step 6: Final answer
    x = 908,370.45

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.