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Finding the Third Proportional to 452,369 and 700,724

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Solution

The third proportional to 452,369 and 700,724 is: 1,085,428.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,369 : 700,724 = 700,724 : x
  2. Step 2: Convert to fraction form
    452,369/700,724 = 700,724/x
  3. Step 3: Cross multiply
    452,369x = 700,724 × 700,724
  4. Step 4: Simplify right side
    452,369x = 491,014,124,176
  5. Step 5: Solve for x
    x = 491,014,124,176/452,369
  6. Step 6: Final answer
    x = 1,085,428.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.