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Finding the Third Proportional to 265,109.63 and 560,926.69

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Solution

The third proportional to 265,109.63 and 560,926.69 is: 1,186,825.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,109.63 : 560,926.69 = 560,926.69 : x
  2. Step 2: Convert to fraction form
    265,109.63/560,926.69 = 560,926.69/x
  3. Step 3: Cross multiply
    265,109.63x = 560,926.69 × 560,926.69
  4. Step 4: Simplify right side
    265,109.63x = 314,638,748,749.72
  5. Step 5: Solve for x
    x = 314,638,748,749.72/265,109.63
  6. Step 6: Final answer
    x = 1,186,825.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.