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Finding the Third Proportional to 700,998 and 1,050,321

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Solution

The third proportional to 700,998 and 1,050,321 is: 1,573,719.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,998 : 1,050,321 = 1,050,321 : x
  2. Step 2: Convert to fraction form
    700,998/1,050,321 = 1,050,321/x
  3. Step 3: Cross multiply
    700,998x = 1,050,321 × 1,050,321
  4. Step 4: Simplify right side
    700,998x = 1,103,174,203,041
  5. Step 5: Solve for x
    x = 1,103,174,203,041/700,998
  6. Step 6: Final answer
    x = 1,573,719.47

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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.