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Finding the Third Proportional to 347,564 and 537,308

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Solution

The third proportional to 347,564 and 537,308 is: 830,638.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,564 : 537,308 = 537,308 : x
  2. Step 2: Convert to fraction form
    347,564/537,308 = 537,308/x
  3. Step 3: Cross multiply
    347,564x = 537,308 × 537,308
  4. Step 4: Simplify right side
    347,564x = 288,699,886,864
  5. Step 5: Solve for x
    x = 288,699,886,864/347,564
  6. Step 6: Final answer
    x = 830,638.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.