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Finding the Third Proportional to 631,712 and 1,031,419.50

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Solution

The third proportional to 631,712 and 1,031,419.50 is: 1,684,036.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,712 : 1,031,419.50 = 1,031,419.50 : x
  2. Step 2: Convert to fraction form
    631,712/1,031,419.50 = 1,031,419.50/x
  3. Step 3: Cross multiply
    631,712x = 1,031,419.50 × 1,031,419.50
  4. Step 4: Simplify right side
    631,712x = 1,063,826,184,980.25
  5. Step 5: Solve for x
    x = 1,063,826,184,980.25/631,712
  6. Step 6: Final answer
    x = 1,684,036.69

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.