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Finding the Third Proportional to 508,618 and 769,473

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Solution

The third proportional to 508,618 and 769,473 is: 1,164,112.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,618 : 769,473 = 769,473 : x
  2. Step 2: Convert to fraction form
    508,618/769,473 = 769,473/x
  3. Step 3: Cross multiply
    508,618x = 769,473 × 769,473
  4. Step 4: Simplify right side
    508,618x = 592,088,697,729
  5. Step 5: Solve for x
    x = 592,088,697,729/508,618
  6. Step 6: Final answer
    x = 1,164,112.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.