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Finding the Third Proportional to 549,301.50 and 823,410

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Solution

The third proportional to 549,301.50 and 823,410 is: 1,234,302.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,301.50 : 823,410 = 823,410 : x
  2. Step 2: Convert to fraction form
    549,301.50/823,410 = 823,410/x
  3. Step 3: Cross multiply
    549,301.50x = 823,410 × 823,410
  4. Step 4: Simplify right side
    549,301.50x = 678,004,028,100
  5. Step 5: Solve for x
    x = 678,004,028,100/549,301.50
  6. Step 6: Final answer
    x = 1,234,302.16

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Why These Related Problems?

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