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Finding the Third Proportional to 630,309 and 943,233

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Solution

The third proportional to 630,309 and 943,233 is: 1,411,511.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,309 : 943,233 = 943,233 : x
  2. Step 2: Convert to fraction form
    630,309/943,233 = 943,233/x
  3. Step 3: Cross multiply
    630,309x = 943,233 × 943,233
  4. Step 4: Simplify right side
    630,309x = 889,688,492,289
  5. Step 5: Solve for x
    x = 889,688,492,289/630,309
  6. Step 6: Final answer
    x = 1,411,511.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.