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Finding the Third Proportional to 375,465 and 777,531

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Solution

The third proportional to 375,465 and 777,531 is: 1,610,148.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,465 : 777,531 = 777,531 : x
  2. Step 2: Convert to fraction form
    375,465/777,531 = 777,531/x
  3. Step 3: Cross multiply
    375,465x = 777,531 × 777,531
  4. Step 4: Simplify right side
    375,465x = 604,554,455,961
  5. Step 5: Solve for x
    x = 604,554,455,961/375,465
  6. Step 6: Final answer
    x = 1,610,148.63

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.