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Finding the Third Proportional to 310,974,904 and 719,925,964

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Solution

The third proportional to 310,974,904 and 719,925,964 is: 1,666,672,734.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,974,904 : 719,925,964 = 719,925,964 : x
  2. Step 2: Convert to fraction form
    310,974,904/719,925,964 = 719,925,964/x
  3. Step 3: Cross multiply
    310,974,904x = 719,925,964 × 719,925,964
  4. Step 4: Simplify right side
    310,974,904x = 518,293,393,641,329,280
  5. Step 5: Solve for x
    x = 518,293,393,641,329,280/310,974,904
  6. Step 6: Final answer
    x = 1,666,672,734.60

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.