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Finding the Third Proportional to 282,472,844 and 598,547,728

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Solution

The third proportional to 282,472,844 and 598,547,728 is: 1,268,296,724.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,472,844 : 598,547,728 = 598,547,728 : x
  2. Step 2: Convert to fraction form
    282,472,844/598,547,728 = 598,547,728/x
  3. Step 3: Cross multiply
    282,472,844x = 598,547,728 × 598,547,728
  4. Step 4: Simplify right side
    282,472,844x = 358,259,382,693,961,984
  5. Step 5: Solve for x
    x = 358,259,382,693,961,984/282,472,844
  6. Step 6: Final answer
    x = 1,268,296,724.11

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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.