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Finding the Third Proportional to 508,017 and 696,618

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Solution

The third proportional to 508,017 and 696,618 is: 955,237.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,017 : 696,618 = 696,618 : x
  2. Step 2: Convert to fraction form
    508,017/696,618 = 696,618/x
  3. Step 3: Cross multiply
    508,017x = 696,618 × 696,618
  4. Step 4: Simplify right side
    508,017x = 485,276,637,924
  5. Step 5: Solve for x
    x = 485,276,637,924/508,017
  6. Step 6: Final answer
    x = 955,237.01

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.