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Finding the Third Proportional to 287,864,406 and 410,264,854

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Solution

The third proportional to 287,864,406 and 410,264,854 is: 584,710,186.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,864,406 : 410,264,854 = 410,264,854 : x
  2. Step 2: Convert to fraction form
    287,864,406/410,264,854 = 410,264,854/x
  3. Step 3: Cross multiply
    287,864,406x = 410,264,854 × 410,264,854
  4. Step 4: Simplify right side
    287,864,406x = 168,317,250,427,641,312
  5. Step 5: Solve for x
    x = 168,317,250,427,641,312/287,864,406
  6. Step 6: Final answer
    x = 584,710,186.18

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.