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Finding the Third Proportional to 562,267.83 and 803,483.30

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Solution

The third proportional to 562,267.83 and 803,483.30 is: 1,148,181.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,267.83 : 803,483.30 = 803,483.30 : x
  2. Step 2: Convert to fraction form
    562,267.83/803,483.30 = 803,483.30/x
  3. Step 3: Cross multiply
    562,267.83x = 803,483.30 × 803,483.30
  4. Step 4: Simplify right side
    562,267.83x = 645,585,408,357.12
  5. Step 5: Solve for x
    x = 645,585,408,357.12/562,267.83
  6. Step 6: Final answer
    x = 1,148,181.30

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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.