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Finding the Third Proportional to 258,546,820 and 552,920,264

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Solution

The third proportional to 258,546,820 and 552,920,264 is: 1,182,458,242.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,546,820 : 552,920,264 = 552,920,264 : x
  2. Step 2: Convert to fraction form
    258,546,820/552,920,264 = 552,920,264/x
  3. Step 3: Cross multiply
    258,546,820x = 552,920,264 × 552,920,264
  4. Step 4: Simplify right side
    258,546,820x = 305,720,818,341,829,696
  5. Step 5: Solve for x
    x = 305,720,818,341,829,696/258,546,820
  6. Step 6: Final answer
    x = 1,182,458,242.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.