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Finding the Third Proportional to 280,306 and 440,547

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Solution

The third proportional to 280,306 and 440,547 is: 692,392.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,306 : 440,547 = 440,547 : x
  2. Step 2: Convert to fraction form
    280,306/440,547 = 440,547/x
  3. Step 3: Cross multiply
    280,306x = 440,547 × 440,547
  4. Step 4: Simplify right side
    280,306x = 194,081,659,209
  5. Step 5: Solve for x
    x = 194,081,659,209/280,306
  6. Step 6: Final answer
    x = 692,392.10

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.