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Finding the Third Proportional to 208,512 and 450,088

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Solution

The third proportional to 208,512 and 450,088 is: 971,547.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,512 : 450,088 = 450,088 : x
  2. Step 2: Convert to fraction form
    208,512/450,088 = 450,088/x
  3. Step 3: Cross multiply
    208,512x = 450,088 × 450,088
  4. Step 4: Simplify right side
    208,512x = 202,579,207,744
  5. Step 5: Solve for x
    x = 202,579,207,744/208,512
  6. Step 6: Final answer
    x = 971,547.00

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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.