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Finding the Third Proportional to 562,374 and 803,626.50

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Solution

The third proportional to 562,374 and 803,626.50 is: 1,148,373.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,374 : 803,626.50 = 803,626.50 : x
  2. Step 2: Convert to fraction form
    562,374/803,626.50 = 803,626.50/x
  3. Step 3: Cross multiply
    562,374x = 803,626.50 × 803,626.50
  4. Step 4: Simplify right side
    562,374x = 645,815,551,502.25
  5. Step 5: Solve for x
    x = 645,815,551,502.25/562,374
  6. Step 6: Final answer
    x = 1,148,373.77

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.