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Finding the Third Proportional to 573,572 and 840,072

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Solution

The third proportional to 573,572 and 840,072 is: 1,230,396.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,572 : 840,072 = 840,072 : x
  2. Step 2: Convert to fraction form
    573,572/840,072 = 840,072/x
  3. Step 3: Cross multiply
    573,572x = 840,072 × 840,072
  4. Step 4: Simplify right side
    573,572x = 705,720,965,184
  5. Step 5: Solve for x
    x = 705,720,965,184/573,572
  6. Step 6: Final answer
    x = 1,230,396.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.