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Finding the Third Proportional to 510,663,225.75 and 808,746,315

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Solution

The third proportional to 510,663,225.75 and 808,746,315 is: 1,280,825,736.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,663,225.75 : 808,746,315 = 808,746,315 : x
  2. Step 2: Convert to fraction form
    510,663,225.75/808,746,315 = 808,746,315/x
  3. Step 3: Cross multiply
    510,663,225.75x = 808,746,315 × 808,746,315
  4. Step 4: Simplify right side
    510,663,225.75x = 654,070,602,026,079,232
  5. Step 5: Solve for x
    x = 654,070,602,026,079,232/510,663,225.75
  6. Step 6: Final answer
    x = 1,280,825,736.11

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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.