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Finding the Third Proportional to 421,688 and 670,071

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Solution

The third proportional to 421,688 and 670,071 is: 1,064,756.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,688 : 670,071 = 670,071 : x
  2. Step 2: Convert to fraction form
    421,688/670,071 = 670,071/x
  3. Step 3: Cross multiply
    421,688x = 670,071 × 670,071
  4. Step 4: Simplify right side
    421,688x = 448,995,145,041
  5. Step 5: Solve for x
    x = 448,995,145,041/421,688
  6. Step 6: Final answer
    x = 1,064,756.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.