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Finding the Third Proportional to 317,046 and 702,451.50

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Solution

The third proportional to 317,046 and 702,451.50 is: 1,556,361.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,046 : 702,451.50 = 702,451.50 : x
  2. Step 2: Convert to fraction form
    317,046/702,451.50 = 702,451.50/x
  3. Step 3: Cross multiply
    317,046x = 702,451.50 × 702,451.50
  4. Step 4: Simplify right side
    317,046x = 493,438,109,852.25
  5. Step 5: Solve for x
    x = 493,438,109,852.25/317,046
  6. Step 6: Final answer
    x = 1,556,361.25

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.