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Finding the Third Proportional to 497,258 and 764,764

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Solution

The third proportional to 497,258 and 764,764 is: 1,176,178.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,258 : 764,764 = 764,764 : x
  2. Step 2: Convert to fraction form
    497,258/764,764 = 764,764/x
  3. Step 3: Cross multiply
    497,258x = 764,764 × 764,764
  4. Step 4: Simplify right side
    497,258x = 584,863,975,696
  5. Step 5: Solve for x
    x = 584,863,975,696/497,258
  6. Step 6: Final answer
    x = 1,176,178.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.