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Finding the Third Proportional to 349,223,534 and 760,448,516

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Solution

The third proportional to 349,223,534 and 760,448,516 is: 1,655,907,718.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,223,534 : 760,448,516 = 760,448,516 : x
  2. Step 2: Convert to fraction form
    349,223,534/760,448,516 = 760,448,516/x
  3. Step 3: Cross multiply
    349,223,534x = 760,448,516 × 760,448,516
  4. Step 4: Simplify right side
    349,223,534x = 578,281,945,486,602,240
  5. Step 5: Solve for x
    x = 578,281,945,486,602,240/349,223,534
  6. Step 6: Final answer
    x = 1,655,907,718.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.