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Finding the Third Proportional to 491,294 and 745,804

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Solution

The third proportional to 491,294 and 745,804 is: 1,132,160.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,294 : 745,804 = 745,804 : x
  2. Step 2: Convert to fraction form
    491,294/745,804 = 745,804/x
  3. Step 3: Cross multiply
    491,294x = 745,804 × 745,804
  4. Step 4: Simplify right side
    491,294x = 556,223,606,416
  5. Step 5: Solve for x
    x = 556,223,606,416/491,294
  6. Step 6: Final answer
    x = 1,132,160.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.