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Finding the Third Proportional to 313,618 and 473,346

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Solution

The third proportional to 313,618 and 473,346 is: 714,424.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,618 : 473,346 = 473,346 : x
  2. Step 2: Convert to fraction form
    313,618/473,346 = 473,346/x
  3. Step 3: Cross multiply
    313,618x = 473,346 × 473,346
  4. Step 4: Simplify right side
    313,618x = 224,056,435,716
  5. Step 5: Solve for x
    x = 224,056,435,716/313,618
  6. Step 6: Final answer
    x = 714,424.67

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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.