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Finding the Third Proportional to 219,259 and 473,492

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Solution

The third proportional to 219,259 and 473,492 is: 1,022,510.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,259 : 473,492 = 473,492 : x
  2. Step 2: Convert to fraction form
    219,259/473,492 = 473,492/x
  3. Step 3: Cross multiply
    219,259x = 473,492 × 473,492
  4. Step 4: Simplify right side
    219,259x = 224,194,674,064
  5. Step 5: Solve for x
    x = 224,194,674,064/219,259
  6. Step 6: Final answer
    x = 1,022,510.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.