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Finding the Third Proportional to 357,712.88 and 777,547.69

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Solution

The third proportional to 357,712.88 and 777,547.69 is: 1,690,127.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,712.88 : 777,547.69 = 777,547.69 : x
  2. Step 2: Convert to fraction form
    357,712.88/777,547.69 = 777,547.69/x
  3. Step 3: Cross multiply
    357,712.88x = 777,547.69 × 777,547.69
  4. Step 4: Simplify right side
    357,712.88x = 604,580,406,336.60
  5. Step 5: Solve for x
    x = 604,580,406,336.60/357,712.88
  6. Step 6: Final answer
    x = 1,690,127.61

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.