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Finding the Third Proportional to 585,701,199 and 777,312,285

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Solution

The third proportional to 585,701,199 and 777,312,285 is: 1,031,608,590.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,701,199 : 777,312,285 = 777,312,285 : x
  2. Step 2: Convert to fraction form
    585,701,199/777,312,285 = 777,312,285/x
  3. Step 3: Cross multiply
    585,701,199x = 777,312,285 × 777,312,285
  4. Step 4: Simplify right side
    585,701,199x = 604,214,388,411,921,280
  5. Step 5: Solve for x
    x = 604,214,388,411,921,280/585,701,199
  6. Step 6: Final answer
    x = 1,031,608,590.60

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.