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Finding the Third Proportional to 315,453 and 688,003

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Solution

The third proportional to 315,453 and 688,003 is: 1,500,534.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,453 : 688,003 = 688,003 : x
  2. Step 2: Convert to fraction form
    315,453/688,003 = 688,003/x
  3. Step 3: Cross multiply
    315,453x = 688,003 × 688,003
  4. Step 4: Simplify right side
    315,453x = 473,348,128,009
  5. Step 5: Solve for x
    x = 473,348,128,009/315,453
  6. Step 6: Final answer
    x = 1,500,534.56

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Why These Related Problems?

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