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Finding the Third Proportional to 285,354 and 607,572

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Solution

The third proportional to 285,354 and 607,572 is: 1,293,634.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,354 : 607,572 = 607,572 : x
  2. Step 2: Convert to fraction form
    285,354/607,572 = 607,572/x
  3. Step 3: Cross multiply
    285,354x = 607,572 × 607,572
  4. Step 4: Simplify right side
    285,354x = 369,143,735,184
  5. Step 5: Solve for x
    x = 369,143,735,184/285,354
  6. Step 6: Final answer
    x = 1,293,634.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.