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Finding the Third Proportional to 562,256.63 and 822,297

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Solution

The third proportional to 562,256.63 and 822,297 is: 1,202,604.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,256.63 : 822,297 = 822,297 : x
  2. Step 2: Convert to fraction form
    562,256.63/822,297 = 822,297/x
  3. Step 3: Cross multiply
    562,256.63x = 822,297 × 822,297
  4. Step 4: Simplify right side
    562,256.63x = 676,172,356,209
  5. Step 5: Solve for x
    x = 676,172,356,209/562,256.63
  6. Step 6: Final answer
    x = 1,202,604.52

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.