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Finding the Third Proportional to 270,585 and 428,442

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Solution

The third proportional to 270,585 and 428,442 is: 678,391.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,585 : 428,442 = 428,442 : x
  2. Step 2: Convert to fraction form
    270,585/428,442 = 428,442/x
  3. Step 3: Cross multiply
    270,585x = 428,442 × 428,442
  4. Step 4: Simplify right side
    270,585x = 183,562,547,364
  5. Step 5: Solve for x
    x = 183,562,547,364/270,585
  6. Step 6: Final answer
    x = 678,391.44

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.