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Finding the Third Proportional to 286,605 and 607,347

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Solution

The third proportional to 286,605 and 607,347 is: 1,287,034.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,605 : 607,347 = 607,347 : x
  2. Step 2: Convert to fraction form
    286,605/607,347 = 607,347/x
  3. Step 3: Cross multiply
    286,605x = 607,347 × 607,347
  4. Step 4: Simplify right side
    286,605x = 368,870,378,409
  5. Step 5: Solve for x
    x = 368,870,378,409/286,605
  6. Step 6: Final answer
    x = 1,287,034.00

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.