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Finding the Third Proportional to 277,070,712 and 602,368,464

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Solution

The third proportional to 277,070,712 and 602,368,464 is: 1,309,585,426.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,070,712 : 602,368,464 = 602,368,464 : x
  2. Step 2: Convert to fraction form
    277,070,712/602,368,464 = 602,368,464/x
  3. Step 3: Cross multiply
    277,070,712x = 602,368,464 × 602,368,464
  4. Step 4: Simplify right side
    277,070,712x = 362,847,766,421,719,296
  5. Step 5: Solve for x
    x = 362,847,766,421,719,296/277,070,712
  6. Step 6: Final answer
    x = 1,309,585,426.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.