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Finding the Third Proportional to 286,954,048 and 456,822,528

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Solution

The third proportional to 286,954,048 and 456,822,528 is: 727,248,225.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,954,048 : 456,822,528 = 456,822,528 : x
  2. Step 2: Convert to fraction form
    286,954,048/456,822,528 = 456,822,528/x
  3. Step 3: Cross multiply
    286,954,048x = 456,822,528 × 456,822,528
  4. Step 4: Simplify right side
    286,954,048x = 208,686,822,088,310,784
  5. Step 5: Solve for x
    x = 208,686,822,088,310,784/286,954,048
  6. Step 6: Final answer
    x = 727,248,225.08

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.