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Finding the Third Proportional to 292,736,946 and 390,262,896

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Solution

The third proportional to 292,736,946 and 390,262,896 is: 520,279,828.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,736,946 : 390,262,896 = 390,262,896 : x
  2. Step 2: Convert to fraction form
    292,736,946/390,262,896 = 390,262,896/x
  3. Step 3: Cross multiply
    292,736,946x = 390,262,896 × 390,262,896
  4. Step 4: Simplify right side
    292,736,946x = 152,305,127,994,306,816
  5. Step 5: Solve for x
    x = 152,305,127,994,306,816/292,736,946
  6. Step 6: Final answer
    x = 520,279,828.27

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.