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Finding the Third Proportional to 562,284 and 803,506

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Solution

The third proportional to 562,284 and 803,506 is: 1,148,213.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,284 : 803,506 = 803,506 : x
  2. Step 2: Convert to fraction form
    562,284/803,506 = 803,506/x
  3. Step 3: Cross multiply
    562,284x = 803,506 × 803,506
  4. Step 4: Simplify right side
    562,284x = 645,621,892,036
  5. Step 5: Solve for x
    x = 645,621,892,036/562,284
  6. Step 6: Final answer
    x = 1,148,213.17

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.