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Finding the Third Proportional to 369,588 and 514,929

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Solution

The third proportional to 369,588 and 514,929 is: 717,425.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,588 : 514,929 = 514,929 : x
  2. Step 2: Convert to fraction form
    369,588/514,929 = 514,929/x
  3. Step 3: Cross multiply
    369,588x = 514,929 × 514,929
  4. Step 4: Simplify right side
    369,588x = 265,151,875,041
  5. Step 5: Solve for x
    x = 265,151,875,041/369,588
  6. Step 6: Final answer
    x = 717,425.55

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.