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Finding the Third Proportional to 334,333,446 and 506,556,297

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Solution

The third proportional to 334,333,446 and 506,556,297 is: 767,495,101.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,333,446 : 506,556,297 = 506,556,297 : x
  2. Step 2: Convert to fraction form
    334,333,446/506,556,297 = 506,556,297/x
  3. Step 3: Cross multiply
    334,333,446x = 506,556,297 × 506,556,297
  4. Step 4: Simplify right side
    334,333,446x = 256,599,282,030,352,224
  5. Step 5: Solve for x
    x = 256,599,282,030,352,224/334,333,446
  6. Step 6: Final answer
    x = 767,495,101.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.