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Finding the Third Proportional to 272,415 and 577,594

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Solution

The third proportional to 272,415 and 577,594 is: 1,224,656.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,415 : 577,594 = 577,594 : x
  2. Step 2: Convert to fraction form
    272,415/577,594 = 577,594/x
  3. Step 3: Cross multiply
    272,415x = 577,594 × 577,594
  4. Step 4: Simplify right side
    272,415x = 333,614,828,836
  5. Step 5: Solve for x
    x = 333,614,828,836/272,415
  6. Step 6: Final answer
    x = 1,224,656.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.