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Finding the Third Proportional to 434,085.75 and 619,206.19

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Solution

The third proportional to 434,085.75 and 619,206.19 is: 883,273.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,085.75 : 619,206.19 = 619,206.19 : x
  2. Step 2: Convert to fraction form
    434,085.75/619,206.19 = 619,206.19/x
  3. Step 3: Cross multiply
    434,085.75x = 619,206.19 × 619,206.19
  4. Step 4: Simplify right side
    434,085.75x = 383,416,302,638.29
  5. Step 5: Solve for x
    x = 383,416,302,638.29/434,085.75
  6. Step 6: Final answer
    x = 883,273.18

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.