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Finding the Third Proportional to 353,781,988 and 765,513,320

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Solution

The third proportional to 353,781,988 and 765,513,320 is: 1,656,417,406.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,781,988 : 765,513,320 = 765,513,320 : x
  2. Step 2: Convert to fraction form
    353,781,988/765,513,320 = 765,513,320/x
  3. Step 3: Cross multiply
    353,781,988x = 765,513,320 × 765,513,320
  4. Step 4: Simplify right side
    353,781,988x = 586,010,643,097,422,336
  5. Step 5: Solve for x
    x = 586,010,643,097,422,336/353,781,988
  6. Step 6: Final answer
    x = 1,656,417,406.69

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.