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Finding the Third Proportional to 306,528 and 455,417

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Solution

The third proportional to 306,528 and 455,417 is: 676,625.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,528 : 455,417 = 455,417 : x
  2. Step 2: Convert to fraction form
    306,528/455,417 = 455,417/x
  3. Step 3: Cross multiply
    306,528x = 455,417 × 455,417
  4. Step 4: Simplify right side
    306,528x = 207,404,643,889
  5. Step 5: Solve for x
    x = 207,404,643,889/306,528
  6. Step 6: Final answer
    x = 676,625.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.