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Finding the Third Proportional to 260,574,417 and 572,792,166

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Solution

The third proportional to 260,574,417 and 572,792,166 is: 1,259,106,205.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,574,417 : 572,792,166 = 572,792,166 : x
  2. Step 2: Convert to fraction form
    260,574,417/572,792,166 = 572,792,166/x
  3. Step 3: Cross multiply
    260,574,417x = 572,792,166 × 572,792,166
  4. Step 4: Simplify right side
    260,574,417x = 328,090,865,430,971,584
  5. Step 5: Solve for x
    x = 328,090,865,430,971,584/260,574,417
  6. Step 6: Final answer
    x = 1,259,106,205.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.