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Finding the Third Proportional to 209,628 and 452,547

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Solution

The third proportional to 209,628 and 452,547 is: 976,962.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,628 : 452,547 = 452,547 : x
  2. Step 2: Convert to fraction form
    209,628/452,547 = 452,547/x
  3. Step 3: Cross multiply
    209,628x = 452,547 × 452,547
  4. Step 4: Simplify right side
    209,628x = 204,798,787,209
  5. Step 5: Solve for x
    x = 204,798,787,209/209,628
  6. Step 6: Final answer
    x = 976,962.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.