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Finding the Third Proportional to 315,492 and 688,084.50

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Solution

The third proportional to 315,492 and 688,084.50 is: 1,500,704.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,492 : 688,084.50 = 688,084.50 : x
  2. Step 2: Convert to fraction form
    315,492/688,084.50 = 688,084.50/x
  3. Step 3: Cross multiply
    315,492x = 688,084.50 × 688,084.50
  4. Step 4: Simplify right side
    315,492x = 473,460,279,140.25
  5. Step 5: Solve for x
    x = 473,460,279,140.25/315,492
  6. Step 6: Final answer
    x = 1,500,704.55

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.