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Finding the Third Proportional to 357,301 and 568,751.50

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Solution

The third proportional to 357,301 and 568,751.50 is: 905,338.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,301 : 568,751.50 = 568,751.50 : x
  2. Step 2: Convert to fraction form
    357,301/568,751.50 = 568,751.50/x
  3. Step 3: Cross multiply
    357,301x = 568,751.50 × 568,751.50
  4. Step 4: Simplify right side
    357,301x = 323,478,268,752.25
  5. Step 5: Solve for x
    x = 323,478,268,752.25/357,301
  6. Step 6: Final answer
    x = 905,338.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.