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Finding the Third Proportional to 585,499.50 and 904,837.50

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Solution

The third proportional to 585,499.50 and 904,837.50 is: 1,398,346.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,499.50 : 904,837.50 = 904,837.50 : x
  2. Step 2: Convert to fraction form
    585,499.50/904,837.50 = 904,837.50/x
  3. Step 3: Cross multiply
    585,499.50x = 904,837.50 × 904,837.50
  4. Step 4: Simplify right side
    585,499.50x = 818,730,901,406.25
  5. Step 5: Solve for x
    x = 818,730,901,406.25/585,499.50
  6. Step 6: Final answer
    x = 1,398,346.03

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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.