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Finding the Third Proportional to 282,472,838 and 598,547,716

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Solution

The third proportional to 282,472,838 and 598,547,716 is: 1,268,296,700.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,472,838 : 598,547,716 = 598,547,716 : x
  2. Step 2: Convert to fraction form
    282,472,838/598,547,716 = 598,547,716/x
  3. Step 3: Cross multiply
    282,472,838x = 598,547,716 × 598,547,716
  4. Step 4: Simplify right side
    282,472,838x = 358,259,368,328,816,640
  5. Step 5: Solve for x
    x = 358,259,368,328,816,640/282,472,838
  6. Step 6: Final answer
    x = 1,268,296,700.19

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