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Finding the Third Proportional to 562,707 and 1,301,548.50

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Solution

The third proportional to 562,707 and 1,301,548.50 is: 3,010,498.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,707 : 1,301,548.50 = 1,301,548.50 : x
  2. Step 2: Convert to fraction form
    562,707/1,301,548.50 = 1,301,548.50/x
  3. Step 3: Cross multiply
    562,707x = 1,301,548.50 × 1,301,548.50
  4. Step 4: Simplify right side
    562,707x = 1,694,028,497,852.25
  5. Step 5: Solve for x
    x = 1,694,028,497,852.25/562,707
  6. Step 6: Final answer
    x = 3,010,498.36

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.