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Finding the Third Proportional to 282,875,282 and 422,570,896

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Solution

The third proportional to 282,875,282 and 422,570,896 is: 631,254,031.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,875,282 : 422,570,896 = 422,570,896 : x
  2. Step 2: Convert to fraction form
    282,875,282/422,570,896 = 422,570,896/x
  3. Step 3: Cross multiply
    282,875,282x = 422,570,896 × 422,570,896
  4. Step 4: Simplify right side
    282,875,282x = 178,566,162,146,242,816
  5. Step 5: Solve for x
    x = 178,566,162,146,242,816/282,875,282
  6. Step 6: Final answer
    x = 631,254,031.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.