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Finding the Third Proportional to 387,063 and 598,090.50

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Solution

The third proportional to 387,063 and 598,090.50 is: 924,170.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,063 : 598,090.50 = 598,090.50 : x
  2. Step 2: Convert to fraction form
    387,063/598,090.50 = 598,090.50/x
  3. Step 3: Cross multiply
    387,063x = 598,090.50 × 598,090.50
  4. Step 4: Simplify right side
    387,063x = 357,712,246,190.25
  5. Step 5: Solve for x
    x = 357,712,246,190.25/387,063
  6. Step 6: Final answer
    x = 924,170.60

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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.