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Finding the Third Proportional to 358,672 and 537,320

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Solution

The third proportional to 358,672 and 537,320 is: 804,949.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,672 : 537,320 = 537,320 : x
  2. Step 2: Convert to fraction form
    358,672/537,320 = 537,320/x
  3. Step 3: Cross multiply
    358,672x = 537,320 × 537,320
  4. Step 4: Simplify right side
    358,672x = 288,712,782,400
  5. Step 5: Solve for x
    x = 288,712,782,400/358,672
  6. Step 6: Final answer
    x = 804,949.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.