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Finding the Third Proportional to 347,574 and 537,318

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Solution

The third proportional to 347,574 and 537,318 is: 830,645.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,574 : 537,318 = 537,318 : x
  2. Step 2: Convert to fraction form
    347,574/537,318 = 537,318/x
  3. Step 3: Cross multiply
    347,574x = 537,318 × 537,318
  4. Step 4: Simplify right side
    347,574x = 288,710,633,124
  5. Step 5: Solve for x
    x = 288,710,633,124/347,574
  6. Step 6: Final answer
    x = 830,645.08

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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.