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Finding the Third Proportional to 453,604 and 707,984

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Solution

The third proportional to 453,604 and 707,984 is: 1,105,019.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,604 : 707,984 = 707,984 : x
  2. Step 2: Convert to fraction form
    453,604/707,984 = 707,984/x
  3. Step 3: Cross multiply
    453,604x = 707,984 × 707,984
  4. Step 4: Simplify right side
    453,604x = 501,241,344,256
  5. Step 5: Solve for x
    x = 501,241,344,256/453,604
  6. Step 6: Final answer
    x = 1,105,019.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.