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Finding the Third Proportional to 452,038 and 700,332

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Solution

The third proportional to 452,038 and 700,332 is: 1,085,008.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,038 : 700,332 = 700,332 : x
  2. Step 2: Convert to fraction form
    452,038/700,332 = 700,332/x
  3. Step 3: Cross multiply
    452,038x = 700,332 × 700,332
  4. Step 4: Simplify right side
    452,038x = 490,464,910,224
  5. Step 5: Solve for x
    x = 490,464,910,224/452,038
  6. Step 6: Final answer
    x = 1,085,008.14

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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.