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Finding the Third Proportional to 508,513 and 690,618

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Solution

The third proportional to 508,513 and 690,618 is: 937,937.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,513 : 690,618 = 690,618 : x
  2. Step 2: Convert to fraction form
    508,513/690,618 = 690,618/x
  3. Step 3: Cross multiply
    508,513x = 690,618 × 690,618
  4. Step 4: Simplify right side
    508,513x = 476,953,221,924
  5. Step 5: Solve for x
    x = 476,953,221,924/508,513
  6. Step 6: Final answer
    x = 937,937.13

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.