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Finding the Third Proportional to 572,176 and 840,748

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Solution

The third proportional to 572,176 and 840,748 is: 1,235,384.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,176 : 840,748 = 840,748 : x
  2. Step 2: Convert to fraction form
    572,176/840,748 = 840,748/x
  3. Step 3: Cross multiply
    572,176x = 840,748 × 840,748
  4. Step 4: Simplify right side
    572,176x = 706,857,199,504
  5. Step 5: Solve for x
    x = 706,857,199,504/572,176
  6. Step 6: Final answer
    x = 1,235,384.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.