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Finding the Third Proportional to 462,346 and 725,465

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Solution

The third proportional to 462,346 and 725,465 is: 1,138,323.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,346 : 725,465 = 725,465 : x
  2. Step 2: Convert to fraction form
    462,346/725,465 = 725,465/x
  3. Step 3: Cross multiply
    462,346x = 725,465 × 725,465
  4. Step 4: Simplify right side
    462,346x = 526,299,466,225
  5. Step 5: Solve for x
    x = 526,299,466,225/462,346
  6. Step 6: Final answer
    x = 1,138,323.82

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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.