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Finding the Third Proportional to 653,497.50 and 1,415,556

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Solution

The third proportional to 653,497.50 and 1,415,556 is: 3,066,268.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,497.50 : 1,415,556 = 1,415,556 : x
  2. Step 2: Convert to fraction form
    653,497.50/1,415,556 = 1,415,556/x
  3. Step 3: Cross multiply
    653,497.50x = 1,415,556 × 1,415,556
  4. Step 4: Simplify right side
    653,497.50x = 2,003,798,789,136
  5. Step 5: Solve for x
    x = 2,003,798,789,136/653,497.50
  6. Step 6: Final answer
    x = 3,066,268.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.