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Finding the Third Proportional to 292,706,516 and 578,010,277

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Solution

The third proportional to 292,706,516 and 578,010,277 is: 1,141,402,264.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,706,516 : 578,010,277 = 578,010,277 : x
  2. Step 2: Convert to fraction form
    292,706,516/578,010,277 = 578,010,277/x
  3. Step 3: Cross multiply
    292,706,516x = 578,010,277 × 578,010,277
  4. Step 4: Simplify right side
    292,706,516x = 334,095,880,317,616,704
  5. Step 5: Solve for x
    x = 334,095,880,317,616,704/292,706,516
  6. Step 6: Final answer
    x = 1,141,402,264.91

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.