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Finding the Third Proportional to 508,106 and 746,955

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Solution

The third proportional to 508,106 and 746,955 is: 1,098,081.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,106 : 746,955 = 746,955 : x
  2. Step 2: Convert to fraction form
    508,106/746,955 = 746,955/x
  3. Step 3: Cross multiply
    508,106x = 746,955 × 746,955
  4. Step 4: Simplify right side
    508,106x = 557,941,772,025
  5. Step 5: Solve for x
    x = 557,941,772,025/508,106
  6. Step 6: Final answer
    x = 1,098,081.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.