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Finding the Third Proportional to 354,475 and 544,852.50

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Solution

The third proportional to 354,475 and 544,852.50 is: 837,475.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,475 : 544,852.50 = 544,852.50 : x
  2. Step 2: Convert to fraction form
    354,475/544,852.50 = 544,852.50/x
  3. Step 3: Cross multiply
    354,475x = 544,852.50 × 544,852.50
  4. Step 4: Simplify right side
    354,475x = 296,864,246,756.25
  5. Step 5: Solve for x
    x = 296,864,246,756.25/354,475
  6. Step 6: Final answer
    x = 837,475.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.