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Finding the Third Proportional to 434,324 and 626,565

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Solution

The third proportional to 434,324 and 626,565 is: 903,895.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,324 : 626,565 = 626,565 : x
  2. Step 2: Convert to fraction form
    434,324/626,565 = 626,565/x
  3. Step 3: Cross multiply
    434,324x = 626,565 × 626,565
  4. Step 4: Simplify right side
    434,324x = 392,583,699,225
  5. Step 5: Solve for x
    x = 392,583,699,225/434,324
  6. Step 6: Final answer
    x = 903,895.94

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.