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Finding the Third Proportional to 510,044 and 787,011

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Solution

The third proportional to 510,044 and 787,011 is: 1,214,378.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,044 : 787,011 = 787,011 : x
  2. Step 2: Convert to fraction form
    510,044/787,011 = 787,011/x
  3. Step 3: Cross multiply
    510,044x = 787,011 × 787,011
  4. Step 4: Simplify right side
    510,044x = 619,386,314,121
  5. Step 5: Solve for x
    x = 619,386,314,121/510,044
  6. Step 6: Final answer
    x = 1,214,378.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.