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Finding the Third Proportional to 602,080 and 900,168

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Solution

The third proportional to 602,080 and 900,168 is: 1,345,838.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,080 : 900,168 = 900,168 : x
  2. Step 2: Convert to fraction form
    602,080/900,168 = 900,168/x
  3. Step 3: Cross multiply
    602,080x = 900,168 × 900,168
  4. Step 4: Simplify right side
    602,080x = 810,302,428,224
  5. Step 5: Solve for x
    x = 810,302,428,224/602,080
  6. Step 6: Final answer
    x = 1,345,838.47

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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.