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Finding the Third Proportional to 434,970.50 and 958,237

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Solution

The third proportional to 434,970.50 and 958,237 is: 2,110,989.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,970.50 : 958,237 = 958,237 : x
  2. Step 2: Convert to fraction form
    434,970.50/958,237 = 958,237/x
  3. Step 3: Cross multiply
    434,970.50x = 958,237 × 958,237
  4. Step 4: Simplify right side
    434,970.50x = 918,218,148,169
  5. Step 5: Solve for x
    x = 918,218,148,169/434,970.50
  6. Step 6: Final answer
    x = 2,110,989.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.