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Finding the Third Proportional to 245,808 and 516,336

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Solution

The third proportional to 245,808 and 516,336 is: 1,084,598.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,808 : 516,336 = 516,336 : x
  2. Step 2: Convert to fraction form
    245,808/516,336 = 516,336/x
  3. Step 3: Cross multiply
    245,808x = 516,336 × 516,336
  4. Step 4: Simplify right side
    245,808x = 266,602,864,896
  5. Step 5: Solve for x
    x = 266,602,864,896/245,808
  6. Step 6: Final answer
    x = 1,084,598.00

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.