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Finding the Third Proportional to 208,528 and 455,294

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Solution

The third proportional to 208,528 and 455,294 is: 994,075.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,528 : 455,294 = 455,294 : x
  2. Step 2: Convert to fraction form
    208,528/455,294 = 455,294/x
  3. Step 3: Cross multiply
    208,528x = 455,294 × 455,294
  4. Step 4: Simplify right side
    208,528x = 207,292,626,436
  5. Step 5: Solve for x
    x = 207,292,626,436/208,528
  6. Step 6: Final answer
    x = 994,075.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.