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Finding the Third Proportional to 354,476 and 544,854

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Solution

The third proportional to 354,476 and 544,854 is: 837,478.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,476 : 544,854 = 544,854 : x
  2. Step 2: Convert to fraction form
    354,476/544,854 = 544,854/x
  3. Step 3: Cross multiply
    354,476x = 544,854 × 544,854
  4. Step 4: Simplify right side
    354,476x = 296,865,881,316
  5. Step 5: Solve for x
    x = 296,865,881,316/354,476
  6. Step 6: Final answer
    x = 837,478.08

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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.