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Finding the Third Proportional to 510,656,526 and 808,736,319

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Solution

The third proportional to 510,656,526 and 808,736,319 is: 1,280,810,878.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,656,526 : 808,736,319 = 808,736,319 : x
  2. Step 2: Convert to fraction form
    510,656,526/808,736,319 = 808,736,319/x
  3. Step 3: Cross multiply
    510,656,526x = 808,736,319 × 808,736,319
  4. Step 4: Simplify right side
    510,656,526x = 654,054,433,669,669,760
  5. Step 5: Solve for x
    x = 654,054,433,669,669,760/510,656,526
  6. Step 6: Final answer
    x = 1,280,810,878.48

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.