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Finding the Third Proportional to 344,618 and 773,428

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Solution

The third proportional to 344,618 and 773,428 is: 1,735,808.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,618 : 773,428 = 773,428 : x
  2. Step 2: Convert to fraction form
    344,618/773,428 = 773,428/x
  3. Step 3: Cross multiply
    344,618x = 773,428 × 773,428
  4. Step 4: Simplify right side
    344,618x = 598,190,871,184
  5. Step 5: Solve for x
    x = 598,190,871,184/344,618
  6. Step 6: Final answer
    x = 1,735,808.55

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.